What is the Greatest Common Factor of 51636 and 51649?

Greatest common factor (GCF) of 51636 and 51649 is 13.

GCF(51636,51649) = 13

We will now calculate the prime factors of 51636 and 51649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51636 and 51649.

How to find the GCF of 51636 and 51649?

We will first find the prime factorization of 51636 and 51649. After we will calculate the factors of 51636 and 51649 and find the biggest common factor number .

Step-1: Prime Factorization of 51636

Prime factors of 51636 are 2, 3, 13, 331. Prime factorization of 51636 in exponential form is:

51636 = 2² × 3¹ × 13¹ × 331¹

Step-2: Prime Factorization of 51649

Prime factors of 51649 are 13, 29, 137. Prime factorization of 51649 in exponential form is:

51649 = 13¹ × 29¹ × 137¹

Step-3: Factors of 51636

List of positive integer factors of 51636 that divides 51636 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 331, 662, 993, 1324, 1986, 3972, 4303, 8606, 12909, 17212, 25818

Step-4: Factors of 51649

List of positive integer factors of 51649 that divides 51636 without a remainder.

1, 13, 29, 137, 377, 1781, 3973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51636 and 51649. The biggest common factor number is the GCF number.
So the greatest common factor 51636 and 51649 is 13.

Also check out the Least Common Multiple of 51636 and 51649