What is the Greatest Common Factor of 53638 and 53651?

Greatest common factor (GCF) of 53638 and 53651 is 13.

GCF(53638,53651) = 13

We will now calculate the prime factors of 53638 and 53651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53638 and 53651.

How to find the GCF of 53638 and 53651?

We will first find the prime factorization of 53638 and 53651. After we will calculate the factors of 53638 and 53651 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53651

Prime factors of 53651 are 13, 4127. Prime factorization of 53651 in exponential form is:

53651 = 13¹ × 4127¹

Step-3: Factors of 53638

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

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

Step-4: Factors of 53651

List of positive integer factors of 53651 that divides 53638 without a remainder.

1, 13, 4127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53638 and 53651. The biggest common factor number is the GCF number.
So the greatest common factor 53638 and 53651 is 13.

Also check out the Least Common Multiple of 53638 and 53651