What is the Greatest Common Factor of 48640 and 48659?

Greatest common factor (GCF) of 48640 and 48659 is 19.

GCF(48640,48659) = 19

We will now calculate the prime factors of 48640 and 48659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48640 and 48659.

How to find the GCF of 48640 and 48659?

We will first find the prime factorization of 48640 and 48659. After we will calculate the factors of 48640 and 48659 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48659

Prime factors of 48659 are 13, 19, 197. Prime factorization of 48659 in exponential form is:

48659 = 13¹ × 19¹ × 197¹

Step-3: Factors of 48640

List of positive integer factors of 48640 that divides 48640 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

Step-4: Factors of 48659

List of positive integer factors of 48659 that divides 48640 without a remainder.

1, 13, 19, 197, 247, 2561, 3743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48640 and 48659. The biggest common factor number is the GCF number.
So the greatest common factor 48640 and 48659 is 19.

Also check out the Least Common Multiple of 48640 and 48659