What is the Greatest Common Factor of 68592 and 68612?

Greatest common factor (GCF) of 68592 and 68612 is 4.

GCF(68592,68612) = 4

We will now calculate the prime factors of 68592 and 68612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68592 and 68612.

How to find the GCF of 68592 and 68612?

We will first find the prime factorization of 68592 and 68612. After we will calculate the factors of 68592 and 68612 and find the biggest common factor number .

Step-1: Prime Factorization of 68592

Prime factors of 68592 are 2, 3, 1429. Prime factorization of 68592 in exponential form is:

68592 = 2⁴ × 3¹ × 1429¹

Step-2: Prime Factorization of 68612

Prime factors of 68612 are 2, 17, 1009. Prime factorization of 68612 in exponential form is:

68612 = 2² × 17¹ × 1009¹

Step-3: Factors of 68592

List of positive integer factors of 68592 that divides 68592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1429, 2858, 4287, 5716, 8574, 11432, 17148, 22864, 34296

Step-4: Factors of 68612

List of positive integer factors of 68612 that divides 68592 without a remainder.

1, 2, 4, 17, 34, 68, 1009, 2018, 4036, 17153, 34306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68592 and 68612. The biggest common factor number is the GCF number.
So the greatest common factor 68592 and 68612 is 4.

Also check out the Least Common Multiple of 68592 and 68612