What is the Greatest Common Factor of 48500 and 48504?

Greatest common factor (GCF) of 48500 and 48504 is 4.

GCF(48500,48504) = 4

We will now calculate the prime factors of 48500 and 48504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48500 and 48504.

How to find the GCF of 48500 and 48504?

We will first find the prime factorization of 48500 and 48504. After we will calculate the factors of 48500 and 48504 and find the biggest common factor number .

Step-1: Prime Factorization of 48500

Prime factors of 48500 are 2, 5, 97. Prime factorization of 48500 in exponential form is:

48500 = 2² × 5³ × 97¹

Step-2: Prime Factorization of 48504

Prime factors of 48504 are 2, 3, 43, 47. Prime factorization of 48504 in exponential form is:

48504 = 2³ × 3¹ × 43¹ × 47¹

Step-3: Factors of 48500

List of positive integer factors of 48500 that divides 48500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 125, 194, 250, 388, 485, 500, 970, 1940, 2425, 4850, 9700, 12125, 24250

Step-4: Factors of 48504

List of positive integer factors of 48504 that divides 48500 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 47, 86, 94, 129, 141, 172, 188, 258, 282, 344, 376, 516, 564, 1032, 1128, 2021, 4042, 6063, 8084, 12126, 16168, 24252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48500 and 48504. The biggest common factor number is the GCF number.
So the greatest common factor 48500 and 48504 is 4.

Also check out the Least Common Multiple of 48500 and 48504