What is the Greatest Common Factor of 62894 and 62912?

Greatest common factor (GCF) of 62894 and 62912 is 2.

GCF(62894,62912) = 2

We will now calculate the prime factors of 62894 and 62912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62894 and 62912.

How to find the GCF of 62894 and 62912?

We will first find the prime factorization of 62894 and 62912. After we will calculate the factors of 62894 and 62912 and find the biggest common factor number .

Step-1: Prime Factorization of 62894

Prime factors of 62894 are 2, 13, 41, 59. Prime factorization of 62894 in exponential form is:

62894 = 2¹ × 13¹ × 41¹ × 59¹

Step-2: Prime Factorization of 62912

Prime factors of 62912 are 2, 983. Prime factorization of 62912 in exponential form is:

62912 = 2⁶ × 983¹

Step-3: Factors of 62894

List of positive integer factors of 62894 that divides 62894 without a remainder.

1, 2, 13, 26, 41, 59, 82, 118, 533, 767, 1066, 1534, 2419, 4838, 31447

Step-4: Factors of 62912

List of positive integer factors of 62912 that divides 62894 without a remainder.

1, 2, 4, 8, 16, 32, 64, 983, 1966, 3932, 7864, 15728, 31456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62894 and 62912. The biggest common factor number is the GCF number.
So the greatest common factor 62894 and 62912 is 2.

Also check out the Least Common Multiple of 62894 and 62912