What is the Greatest Common Factor of 48906 and 48925?

Greatest common factor (GCF) of 48906 and 48925 is 19.

GCF(48906,48925) = 19

We will now calculate the prime factors of 48906 and 48925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48906 and 48925.

How to find the GCF of 48906 and 48925?

We will first find the prime factorization of 48906 and 48925. After we will calculate the factors of 48906 and 48925 and find the biggest common factor number .

Step-1: Prime Factorization of 48906

Prime factors of 48906 are 2, 3, 11, 13, 19. Prime factorization of 48906 in exponential form is:

48906 = 2¹ × 3² × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 48925

Prime factors of 48925 are 5, 19, 103. Prime factorization of 48925 in exponential form is:

48925 = 5² × 19¹ × 103¹

Step-3: Factors of 48906

List of positive integer factors of 48906 that divides 48906 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 19, 22, 26, 33, 38, 39, 57, 66, 78, 99, 114, 117, 143, 171, 198, 209, 234, 247, 286, 342, 418, 429, 494, 627, 741, 858, 1254, 1287, 1482, 1881, 2223, 2574, 2717, 3762, 4446, 5434, 8151, 16302, 24453

Step-4: Factors of 48925

List of positive integer factors of 48925 that divides 48906 without a remainder.

1, 5, 19, 25, 95, 103, 475, 515, 1957, 2575, 9785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48906 and 48925. The biggest common factor number is the GCF number.
So the greatest common factor 48906 and 48925 is 19.

Also check out the Least Common Multiple of 48906 and 48925