What is the Greatest Common Factor of 53628 and 53638?

Greatest common factor (GCF) of 53628 and 53638 is 2.

GCF(53628,53638) = 2

We will now calculate the prime factors of 53628 and 53638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53628 and 53638.

How to find the GCF of 53628 and 53638?

We will first find the prime factorization of 53628 and 53638. After we will calculate the factors of 53628 and 53638 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 53638

Prime factors of 53638 are 2, 13, 2063. Prime factorization of 53638 in exponential form is:

53638 = 2¹ × 13¹ × 2063¹

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 53638

List of positive integer factors of 53638 that divides 53628 without a remainder.

1, 2, 13, 26, 2063, 4126, 26819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53628 and 53638. The biggest common factor number is the GCF number.
So the greatest common factor 53628 and 53638 is 2.

Also check out the Least Common Multiple of 53628 and 53638