What is the Greatest Common Factor of 62718 and 62734?

Greatest common factor (GCF) of 62718 and 62734 is 2.

GCF(62718,62734) = 2

We will now calculate the prime factors of 62718 and 62734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62718 and 62734.

How to find the GCF of 62718 and 62734?

We will first find the prime factorization of 62718 and 62734. After we will calculate the factors of 62718 and 62734 and find the biggest common factor number .

Step-1: Prime Factorization of 62718

Prime factors of 62718 are 2, 3, 10453. Prime factorization of 62718 in exponential form is:

62718 = 2¹ × 3¹ × 10453¹

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 62718

List of positive integer factors of 62718 that divides 62718 without a remainder.

1, 2, 3, 6, 10453, 20906, 31359

Step-4: Factors of 62734

List of positive integer factors of 62734 that divides 62718 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62718 and 62734. The biggest common factor number is the GCF number.
So the greatest common factor 62718 and 62734 is 2.

Also check out the Least Common Multiple of 62718 and 62734