What is the Greatest Common Factor of 67592 and 67612?

Greatest common factor (GCF) of 67592 and 67612 is 4.

GCF(67592,67612) = 4

We will now calculate the prime factors of 67592 and 67612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67592 and 67612.

How to find the GCF of 67592 and 67612?

We will first find the prime factorization of 67592 and 67612. After we will calculate the factors of 67592 and 67612 and find the biggest common factor number .

Step-1: Prime Factorization of 67592

Prime factors of 67592 are 2, 7, 17, 71. Prime factorization of 67592 in exponential form is:

67592 = 2³ × 7¹ × 17¹ × 71¹

Step-2: Prime Factorization of 67612

Prime factors of 67612 are 2, 16903. Prime factorization of 67612 in exponential form is:

67612 = 2² × 16903¹

Step-3: Factors of 67592

List of positive integer factors of 67592 that divides 67592 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 71, 119, 136, 142, 238, 284, 476, 497, 568, 952, 994, 1207, 1988, 2414, 3976, 4828, 8449, 9656, 16898, 33796

Step-4: Factors of 67612

List of positive integer factors of 67612 that divides 67592 without a remainder.

1, 2, 4, 16903, 33806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67592 and 67612. The biggest common factor number is the GCF number.
So the greatest common factor 67592 and 67612 is 4.

Also check out the Least Common Multiple of 67592 and 67612