What is the Greatest Common Factor of 62864 and 62872?

Greatest common factor (GCF) of 62864 and 62872 is 8.

GCF(62864,62872) = 8

We will now calculate the prime factors of 62864 and 62872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62864 and 62872.

How to find the GCF of 62864 and 62872?

We will first find the prime factorization of 62864 and 62872. After we will calculate the factors of 62864 and 62872 and find the biggest common factor number .

Step-1: Prime Factorization of 62864

Prime factors of 62864 are 2, 3929. Prime factorization of 62864 in exponential form is:

62864 = 2⁴ × 3929¹

Step-2: Prime Factorization of 62872

Prime factors of 62872 are 2, 29, 271. Prime factorization of 62872 in exponential form is:

62872 = 2³ × 29¹ × 271¹

Step-3: Factors of 62864

List of positive integer factors of 62864 that divides 62864 without a remainder.

1, 2, 4, 8, 16, 3929, 7858, 15716, 31432

Step-4: Factors of 62872

List of positive integer factors of 62872 that divides 62864 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 271, 542, 1084, 2168, 7859, 15718, 31436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62864 and 62872. The biggest common factor number is the GCF number.
So the greatest common factor 62864 and 62872 is 8.

Also check out the Least Common Multiple of 62864 and 62872