What is the Greatest Common Factor of 62715 and 62735?

Greatest common factor (GCF) of 62715 and 62735 is 5.

GCF(62715,62735) = 5

We will now calculate the prime factors of 62715 and 62735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62715 and 62735.

How to find the GCF of 62715 and 62735?

We will first find the prime factorization of 62715 and 62735. After we will calculate the factors of 62715 and 62735 and find the biggest common factor number .

Step-1: Prime Factorization of 62715

Prime factors of 62715 are 3, 5, 37, 113. Prime factorization of 62715 in exponential form is:

62715 = 3¹ × 5¹ × 37¹ × 113¹

Step-2: Prime Factorization of 62735

Prime factors of 62735 are 5, 12547. Prime factorization of 62735 in exponential form is:

62735 = 5¹ × 12547¹

Step-3: Factors of 62715

List of positive integer factors of 62715 that divides 62715 without a remainder.

1, 3, 5, 15, 37, 111, 113, 185, 339, 555, 565, 1695, 4181, 12543, 20905

Step-4: Factors of 62735

List of positive integer factors of 62735 that divides 62715 without a remainder.

1, 5, 12547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62715 and 62735. The biggest common factor number is the GCF number.
So the greatest common factor 62715 and 62735 is 5.

Also check out the Least Common Multiple of 62715 and 62735