What is the Greatest Common Factor of 62715 and 62734?

Greatest common factor (GCF) of 62715 and 62734 is 1.

GCF(62715,62734) = 1

We will now calculate the prime factors of 62715 and 62734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62715 and 62734.

How to find the GCF of 62715 and 62734?

We will first find the prime factorization of 62715 and 62734. After we will calculate the factors of 62715 and 62734 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 62734

Prime factors of 62734 are 2, 7, 4481. Prime factorization of 62734 in exponential form is:

62734 = 2¹ × 7¹ × 4481¹

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 62734

List of positive integer factors of 62734 that divides 62715 without a remainder.

1, 2, 7, 14, 4481, 8962, 31367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62715 and 62734. The biggest common factor number is the GCF number.
So the greatest common factor 62715 and 62734 is 1.

Also check out the Least Common Multiple of 62715 and 62734