What is the Greatest Common Factor of 22498 and 22516?

Greatest common factor (GCF) of 22498 and 22516 is 2.

GCF(22498,22516) = 2

We will now calculate the prime factors of 22498 and 22516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22498 and 22516.

How to find the GCF of 22498 and 22516?

We will first find the prime factorization of 22498 and 22516. After we will calculate the factors of 22498 and 22516 and find the biggest common factor number .

Step-1: Prime Factorization of 22498

Prime factors of 22498 are 2, 7, 1607. Prime factorization of 22498 in exponential form is:

22498 = 2¹ × 7¹ × 1607¹

Step-2: Prime Factorization of 22516

Prime factors of 22516 are 2, 13, 433. Prime factorization of 22516 in exponential form is:

22516 = 2² × 13¹ × 433¹

Step-3: Factors of 22498

List of positive integer factors of 22498 that divides 22498 without a remainder.

1, 2, 7, 14, 1607, 3214, 11249

Step-4: Factors of 22516

List of positive integer factors of 22516 that divides 22498 without a remainder.

1, 2, 4, 13, 26, 52, 433, 866, 1732, 5629, 11258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22498 and 22516. The biggest common factor number is the GCF number.
So the greatest common factor 22498 and 22516 is 2.

Also check out the Least Common Multiple of 22498 and 22516