What is the Greatest Common Factor of 48498 and 48502?

Greatest common factor (GCF) of 48498 and 48502 is 2.

GCF(48498,48502) = 2

We will now calculate the prime factors of 48498 and 48502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48498 and 48502.

How to find the GCF of 48498 and 48502?

We will first find the prime factorization of 48498 and 48502. After we will calculate the factors of 48498 and 48502 and find the biggest common factor number .

Step-1: Prime Factorization of 48498

Prime factors of 48498 are 2, 3, 59, 137. Prime factorization of 48498 in exponential form is:

48498 = 2¹ × 3¹ × 59¹ × 137¹

Step-2: Prime Factorization of 48502

Prime factors of 48502 are 2, 24251. Prime factorization of 48502 in exponential form is:

48502 = 2¹ × 24251¹

Step-3: Factors of 48498

List of positive integer factors of 48498 that divides 48498 without a remainder.

1, 2, 3, 6, 59, 118, 137, 177, 274, 354, 411, 822, 8083, 16166, 24249

Step-4: Factors of 48502

List of positive integer factors of 48502 that divides 48498 without a remainder.

1, 2, 24251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48498 and 48502. The biggest common factor number is the GCF number.
So the greatest common factor 48498 and 48502 is 2.

Also check out the Least Common Multiple of 48498 and 48502