What is the Greatest Common Factor of 48640 and 48654?

Greatest common factor (GCF) of 48640 and 48654 is 2.

GCF(48640,48654) = 2

We will now calculate the prime factors of 48640 and 48654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48640 and 48654.

How to find the GCF of 48640 and 48654?

We will first find the prime factorization of 48640 and 48654. After we will calculate the factors of 48640 and 48654 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 48654

Prime factors of 48654 are 2, 3, 17, 53. Prime factorization of 48654 in exponential form is:

48654 = 2¹ × 3³ × 17¹ × 53¹

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 48654

List of positive integer factors of 48654 that divides 48640 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 53, 54, 102, 106, 153, 159, 306, 318, 459, 477, 901, 918, 954, 1431, 1802, 2703, 2862, 5406, 8109, 16218, 24327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48640 and 48654. The biggest common factor number is the GCF number.
So the greatest common factor 48640 and 48654 is 2.

Also check out the Least Common Multiple of 48640 and 48654