What is the Greatest Common Factor of 48984 and 48997?

Greatest common factor (GCF) of 48984 and 48997 is 13.

GCF(48984,48997) = 13

We will now calculate the prime factors of 48984 and 48997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48984 and 48997.

How to find the GCF of 48984 and 48997?

We will first find the prime factorization of 48984 and 48997. After we will calculate the factors of 48984 and 48997 and find the biggest common factor number .

Step-1: Prime Factorization of 48984

Prime factors of 48984 are 2, 3, 13, 157. Prime factorization of 48984 in exponential form is:

48984 = 2³ × 3¹ × 13¹ × 157¹

Step-2: Prime Factorization of 48997

Prime factors of 48997 are 13, 3769. Prime factorization of 48997 in exponential form is:

48997 = 13¹ × 3769¹

Step-3: Factors of 48984

List of positive integer factors of 48984 that divides 48984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 157, 312, 314, 471, 628, 942, 1256, 1884, 2041, 3768, 4082, 6123, 8164, 12246, 16328, 24492

Step-4: Factors of 48997

List of positive integer factors of 48997 that divides 48984 without a remainder.

1, 13, 3769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48984 and 48997. The biggest common factor number is the GCF number.
So the greatest common factor 48984 and 48997 is 13.

Also check out the Least Common Multiple of 48984 and 48997