What is the Greatest Common Factor of 48621 and 48640?

Greatest common factor (GCF) of 48621 and 48640 is 19.

GCF(48621,48640) = 19

We will now calculate the prime factors of 48621 and 48640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48621 and 48640.

How to find the GCF of 48621 and 48640?

We will first find the prime factorization of 48621 and 48640. After we will calculate the factors of 48621 and 48640 and find the biggest common factor number .

Step-1: Prime Factorization of 48621

Prime factors of 48621 are 3, 19, 853. Prime factorization of 48621 in exponential form is:

48621 = 3¹ × 19¹ × 853¹

Step-2: Prime Factorization of 48640

Prime factors of 48640 are 2, 5, 19. Prime factorization of 48640 in exponential form is:

48640 = 2⁹ × 5¹ × 19¹

Step-3: Factors of 48621

List of positive integer factors of 48621 that divides 48621 without a remainder.

1, 3, 19, 57, 853, 2559, 16207

Step-4: Factors of 48640

List of positive integer factors of 48640 that divides 48621 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 128, 152, 160, 190, 256, 304, 320, 380, 512, 608, 640, 760, 1216, 1280, 1520, 2432, 2560, 3040, 4864, 6080, 9728, 12160, 24320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48621 and 48640. The biggest common factor number is the GCF number.
So the greatest common factor 48621 and 48640 is 19.

Also check out the Least Common Multiple of 48621 and 48640