What is the Greatest Common Factor of 59392 and 59412?

Greatest common factor (GCF) of 59392 and 59412 is 4.

GCF(59392,59412) = 4

We will now calculate the prime factors of 59392 and 59412, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59392 and 59412.

How to find the GCF of 59392 and 59412?

We will first find the prime factorization of 59392 and 59412. After we will calculate the factors of 59392 and 59412 and find the biggest common factor number .

Step-1: Prime Factorization of 59392

Prime factors of 59392 are 2, 29. Prime factorization of 59392 in exponential form is:

59392 = 2¹¹ × 29¹

Step-2: Prime Factorization of 59412

Prime factors of 59412 are 2, 3, 4951. Prime factorization of 59412 in exponential form is:

59412 = 2² × 3¹ × 4951¹

Step-3: Factors of 59392

List of positive integer factors of 59392 that divides 59392 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928, 1024, 1856, 2048, 3712, 7424, 14848, 29696

Step-4: Factors of 59412

List of positive integer factors of 59412 that divides 59392 without a remainder.

1, 2, 3, 4, 6, 12, 4951, 9902, 14853, 19804, 29706

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59392 and 59412. The biggest common factor number is the GCF number.
So the greatest common factor 59392 and 59412 is 4.

Also check out the Least Common Multiple of 59392 and 59412