What is the Greatest Common Factor of 62564 and 62568?

Greatest common factor (GCF) of 62564 and 62568 is 4.

GCF(62564,62568) = 4

We will now calculate the prime factors of 62564 and 62568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62564 and 62568.

How to find the GCF of 62564 and 62568?

We will first find the prime factorization of 62564 and 62568. After we will calculate the factors of 62564 and 62568 and find the biggest common factor number .

Step-1: Prime Factorization of 62564

Prime factors of 62564 are 2, 15641. Prime factorization of 62564 in exponential form is:

62564 = 2² × 15641¹

Step-2: Prime Factorization of 62568

Prime factors of 62568 are 2, 3, 11, 79. Prime factorization of 62568 in exponential form is:

62568 = 2³ × 3² × 11¹ × 79¹

Step-3: Factors of 62564

List of positive integer factors of 62564 that divides 62564 without a remainder.

1, 2, 4, 15641, 31282

Step-4: Factors of 62568

List of positive integer factors of 62568 that divides 62564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 79, 88, 99, 132, 158, 198, 237, 264, 316, 396, 474, 632, 711, 792, 869, 948, 1422, 1738, 1896, 2607, 2844, 3476, 5214, 5688, 6952, 7821, 10428, 15642, 20856, 31284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62564 and 62568. The biggest common factor number is the GCF number.
So the greatest common factor 62564 and 62568 is 4.

Also check out the Least Common Multiple of 62564 and 62568