What is the Greatest Common Factor of 48684 and 48700?

Greatest common factor (GCF) of 48684 and 48700 is 4.

GCF(48684,48700) = 4

We will now calculate the prime factors of 48684 and 48700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48684 and 48700.

How to find the GCF of 48684 and 48700?

We will first find the prime factorization of 48684 and 48700. After we will calculate the factors of 48684 and 48700 and find the biggest common factor number .

Step-1: Prime Factorization of 48684

Prime factors of 48684 are 2, 3, 4057. Prime factorization of 48684 in exponential form is:

48684 = 2² × 3¹ × 4057¹

Step-2: Prime Factorization of 48700

Prime factors of 48700 are 2, 5, 487. Prime factorization of 48700 in exponential form is:

48700 = 2² × 5² × 487¹

Step-3: Factors of 48684

List of positive integer factors of 48684 that divides 48684 without a remainder.

1, 2, 3, 4, 6, 12, 4057, 8114, 12171, 16228, 24342

Step-4: Factors of 48700

List of positive integer factors of 48700 that divides 48684 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 487, 974, 1948, 2435, 4870, 9740, 12175, 24350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48684 and 48700. The biggest common factor number is the GCF number.
So the greatest common factor 48684 and 48700 is 4.

Also check out the Least Common Multiple of 48684 and 48700