What is the Greatest Common Factor of 49608 and 49621?

Greatest common factor (GCF) of 49608 and 49621 is 13.

GCF(49608,49621) = 13

We will now calculate the prime factors of 49608 and 49621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49608 and 49621.

How to find the GCF of 49608 and 49621?

We will first find the prime factorization of 49608 and 49621. After we will calculate the factors of 49608 and 49621 and find the biggest common factor number .

Step-1: Prime Factorization of 49608

Prime factors of 49608 are 2, 3, 13, 53. Prime factorization of 49608 in exponential form is:

49608 = 2³ × 3² × 13¹ × 53¹

Step-2: Prime Factorization of 49621

Prime factors of 49621 are 11, 13, 347. Prime factorization of 49621 in exponential form is:

49621 = 11¹ × 13¹ × 347¹

Step-3: Factors of 49608

List of positive integer factors of 49608 that divides 49608 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 53, 72, 78, 104, 106, 117, 156, 159, 212, 234, 312, 318, 424, 468, 477, 636, 689, 936, 954, 1272, 1378, 1908, 2067, 2756, 3816, 4134, 5512, 6201, 8268, 12402, 16536, 24804

Step-4: Factors of 49621

List of positive integer factors of 49621 that divides 49608 without a remainder.

1, 11, 13, 143, 347, 3817, 4511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49608 and 49621. The biggest common factor number is the GCF number.
So the greatest common factor 49608 and 49621 is 13.

Also check out the Least Common Multiple of 49608 and 49621