What is the Greatest Common Factor of 62896 and 62914?

Greatest common factor (GCF) of 62896 and 62914 is 2.

GCF(62896,62914) = 2

We will now calculate the prime factors of 62896 and 62914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62896 and 62914.

How to find the GCF of 62896 and 62914?

We will first find the prime factorization of 62896 and 62914. After we will calculate the factors of 62896 and 62914 and find the biggest common factor number .

Step-1: Prime Factorization of 62896

Prime factors of 62896 are 2, 3931. Prime factorization of 62896 in exponential form is:

62896 = 2⁴ × 3931¹

Step-2: Prime Factorization of 62914

Prime factors of 62914 are 2, 83, 379. Prime factorization of 62914 in exponential form is:

62914 = 2¹ × 83¹ × 379¹

Step-3: Factors of 62896

List of positive integer factors of 62896 that divides 62896 without a remainder.

1, 2, 4, 8, 16, 3931, 7862, 15724, 31448

Step-4: Factors of 62914

List of positive integer factors of 62914 that divides 62896 without a remainder.

1, 2, 83, 166, 379, 758, 31457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62896 and 62914. The biggest common factor number is the GCF number.
So the greatest common factor 62896 and 62914 is 2.

Also check out the Least Common Multiple of 62896 and 62914