GCF with PF

To find the Greatest Common Factor with Prime Factorization, follow these steps. For example, what is the greatest common factor of $60$ and $150$?

• Prime factorize both numbers
  • $60 = 2^23^15^1$
  • $150 = 2^13^15^2$
• Identify the prime divisors the two numbers share in common. Make sure to note the exponents they share in common too.
  • $60$ and $150$ share one $2$, one $3$, and one $5$.
• Multiply together what they share in common.
  • $2 \times 3 \times 5 = 30$