What is the Greatest Common Factor of 24974 and 24994?

Greatest common factor (GCF) of 24974 and 24994 is 2.

GCF(24974,24994) = 2

We will now calculate the prime factors of 24974 and 24994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24974 and 24994.

How to find the GCF of 24974 and 24994?

We will first find the prime factorization of 24974 and 24994. After we will calculate the factors of 24974 and 24994 and find the biggest common factor number .

Step-1: Prime Factorization of 24974

Prime factors of 24974 are 2, 12487. Prime factorization of 24974 in exponential form is:

24974 = 2¹ × 12487¹

Step-2: Prime Factorization of 24994

Prime factors of 24994 are 2, 12497. Prime factorization of 24994 in exponential form is:

24994 = 2¹ × 12497¹

Step-3: Factors of 24974

List of positive integer factors of 24974 that divides 24974 without a remainder.

1, 2, 12487

Step-4: Factors of 24994

List of positive integer factors of 24994 that divides 24974 without a remainder.

1, 2, 12497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24974 and 24994. The biggest common factor number is the GCF number.
So the greatest common factor 24974 and 24994 is 2.

Also check out the Least Common Multiple of 24974 and 24994