What is the Greatest Common Factor of 62734 and 62741?

Greatest common factor (GCF) of 62734 and 62741 is 7.

GCF(62734,62741) = 7

We will now calculate the prime factors of 62734 and 62741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62734 and 62741.

How to find the GCF of 62734 and 62741?

We will first find the prime factorization of 62734 and 62741. After we will calculate the factors of 62734 and 62741 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62741

Prime factors of 62741 are 7, 8963. Prime factorization of 62741 in exponential form is:

62741 = 7¹ × 8963¹

Step-3: Factors of 62734

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

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

Step-4: Factors of 62741

List of positive integer factors of 62741 that divides 62734 without a remainder.

1, 7, 8963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62734 and 62741. The biggest common factor number is the GCF number.
So the greatest common factor 62734 and 62741 is 7.

Also check out the Least Common Multiple of 62734 and 62741