What is the Greatest Common Factor of 53628 and 53632?

Greatest common factor (GCF) of 53628 and 53632 is 4.

GCF(53628,53632) = 4

We will now calculate the prime factors of 53628 and 53632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53628 and 53632.

How to find the GCF of 53628 and 53632?

We will first find the prime factorization of 53628 and 53632. After we will calculate the factors of 53628 and 53632 and find the biggest common factor number .

Step-1: Prime Factorization of 53628

Prime factors of 53628 are 2, 3, 41, 109. Prime factorization of 53628 in exponential form is:

53628 = 2² × 3¹ × 41¹ × 109¹

Step-2: Prime Factorization of 53632

Prime factors of 53632 are 2, 419. Prime factorization of 53632 in exponential form is:

53632 = 2⁷ × 419¹

Step-3: Factors of 53628

List of positive integer factors of 53628 that divides 53628 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 109, 123, 164, 218, 246, 327, 436, 492, 654, 1308, 4469, 8938, 13407, 17876, 26814

Step-4: Factors of 53632

List of positive integer factors of 53632 that divides 53628 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 419, 838, 1676, 3352, 6704, 13408, 26816

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53628 and 53632. The biggest common factor number is the GCF number.
So the greatest common factor 53628 and 53632 is 4.

Also check out the Least Common Multiple of 53628 and 53632