What is the Greatest Common Factor of 48640 and 48650?

Greatest common factor (GCF) of 48640 and 48650 is 10.

GCF(48640,48650) = 10

We will now calculate the prime factors of 48640 and 48650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48640 and 48650.

How to find the GCF of 48640 and 48650?

We will first find the prime factorization of 48640 and 48650. After we will calculate the factors of 48640 and 48650 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 48650

Prime factors of 48650 are 2, 5, 7, 139. Prime factorization of 48650 in exponential form is:

48650 = 2¹ × 5² × 7¹ × 139¹

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 48650

List of positive integer factors of 48650 that divides 48640 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 139, 175, 278, 350, 695, 973, 1390, 1946, 3475, 4865, 6950, 9730, 24325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48640 and 48650. The biggest common factor number is the GCF number.
So the greatest common factor 48640 and 48650 is 10.

Also check out the Least Common Multiple of 48640 and 48650