What is the Greatest Common Factor of 42592 and 42612?

Greatest common factor (GCF) of 42592 and 42612 is 4.

GCF(42592,42612) = 4

We will now calculate the prime factors of 42592 and 42612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42592 and 42612.

How to find the GCF of 42592 and 42612?

We will first find the prime factorization of 42592 and 42612. After we will calculate the factors of 42592 and 42612 and find the biggest common factor number .

Step-1: Prime Factorization of 42592

Prime factors of 42592 are 2, 11. Prime factorization of 42592 in exponential form is:

42592 = 2⁵ × 11³

Step-2: Prime Factorization of 42612

Prime factors of 42612 are 2, 3, 53, 67. Prime factorization of 42612 in exponential form is:

42612 = 2² × 3¹ × 53¹ × 67¹

Step-3: Factors of 42592

List of positive integer factors of 42592 that divides 42592 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1331, 1936, 2662, 3872, 5324, 10648, 21296

Step-4: Factors of 42612

List of positive integer factors of 42612 that divides 42592 without a remainder.

1, 2, 3, 4, 6, 12, 53, 67, 106, 134, 159, 201, 212, 268, 318, 402, 636, 804, 3551, 7102, 10653, 14204, 21306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42592 and 42612. The biggest common factor number is the GCF number.
So the greatest common factor 42592 and 42612 is 4.

Also check out the Least Common Multiple of 42592 and 42612