What is the Greatest Common Factor of 53592 and 53607?

Greatest common factor (GCF) of 53592 and 53607 is 3.

GCF(53592,53607) = 3

We will now calculate the prime factors of 53592 and 53607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53592 and 53607.

How to find the GCF of 53592 and 53607?

We will first find the prime factorization of 53592 and 53607. After we will calculate the factors of 53592 and 53607 and find the biggest common factor number .

Step-1: Prime Factorization of 53592

Prime factors of 53592 are 2, 3, 7, 11, 29. Prime factorization of 53592 in exponential form is:

53592 = 2³ × 3¹ × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 53607

Prime factors of 53607 are 3, 107, 167. Prime factorization of 53607 in exponential form is:

53607 = 3¹ × 107¹ × 167¹

Step-3: Factors of 53592

List of positive integer factors of 53592 that divides 53592 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 29, 33, 42, 44, 56, 58, 66, 77, 84, 87, 88, 116, 132, 154, 168, 174, 203, 231, 232, 264, 308, 319, 348, 406, 462, 609, 616, 638, 696, 812, 924, 957, 1218, 1276, 1624, 1848, 1914, 2233, 2436, 2552, 3828, 4466, 4872, 6699, 7656, 8932, 13398, 17864, 26796

Step-4: Factors of 53607

List of positive integer factors of 53607 that divides 53592 without a remainder.

1, 3, 107, 167, 321, 501, 17869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53592 and 53607. The biggest common factor number is the GCF number.
So the greatest common factor 53592 and 53607 is 3.

Also check out the Least Common Multiple of 53592 and 53607