What is the Greatest Common Factor of 54672 and 54692?

Greatest common factor (GCF) of 54672 and 54692 is 4.

GCF(54672,54692) = 4

We will now calculate the prime factors of 54672 and 54692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54672 and 54692.

How to find the GCF of 54672 and 54692?

We will first find the prime factorization of 54672 and 54692. After we will calculate the factors of 54672 and 54692 and find the biggest common factor number .

Step-1: Prime Factorization of 54672

Prime factors of 54672 are 2, 3, 17, 67. Prime factorization of 54672 in exponential form is:

54672 = 2⁴ × 3¹ × 17¹ × 67¹

Step-2: Prime Factorization of 54692

Prime factors of 54692 are 2, 11, 113. Prime factorization of 54692 in exponential form is:

54692 = 2² × 11² × 113¹

Step-3: Factors of 54672

List of positive integer factors of 54672 that divides 54672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 67, 68, 102, 134, 136, 201, 204, 268, 272, 402, 408, 536, 804, 816, 1072, 1139, 1608, 2278, 3216, 3417, 4556, 6834, 9112, 13668, 18224, 27336

Step-4: Factors of 54692

List of positive integer factors of 54692 that divides 54672 without a remainder.

1, 2, 4, 11, 22, 44, 113, 121, 226, 242, 452, 484, 1243, 2486, 4972, 13673, 27346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54672 and 54692. The biggest common factor number is the GCF number.
So the greatest common factor 54672 and 54692 is 4.

Also check out the Least Common Multiple of 54672 and 54692