What is the Greatest Common Factor of 22488 and 22502?

Greatest common factor (GCF) of 22488 and 22502 is 2.

GCF(22488,22502) = 2

We will now calculate the prime factors of 22488 and 22502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22488 and 22502.

How to find the GCF of 22488 and 22502?

We will first find the prime factorization of 22488 and 22502. After we will calculate the factors of 22488 and 22502 and find the biggest common factor number .

Step-1: Prime Factorization of 22488

Prime factors of 22488 are 2, 3, 937. Prime factorization of 22488 in exponential form is:

22488 = 2³ × 3¹ × 937¹

Step-2: Prime Factorization of 22502

Prime factors of 22502 are 2, 11251. Prime factorization of 22502 in exponential form is:

22502 = 2¹ × 11251¹

Step-3: Factors of 22488

List of positive integer factors of 22488 that divides 22488 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 937, 1874, 2811, 3748, 5622, 7496, 11244

Step-4: Factors of 22502

List of positive integer factors of 22502 that divides 22488 without a remainder.

1, 2, 11251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22488 and 22502. The biggest common factor number is the GCF number.
So the greatest common factor 22488 and 22502 is 2.

Also check out the Least Common Multiple of 22488 and 22502