What is the Greatest Common Factor of 24944 and 24962?

Greatest common factor (GCF) of 24944 and 24962 is 2.

GCF(24944,24962) = 2

We will now calculate the prime factors of 24944 and 24962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24944 and 24962.

How to find the GCF of 24944 and 24962?

We will first find the prime factorization of 24944 and 24962. After we will calculate the factors of 24944 and 24962 and find the biggest common factor number .

Step-1: Prime Factorization of 24944

Prime factors of 24944 are 2, 1559. Prime factorization of 24944 in exponential form is:

24944 = 2⁴ × 1559¹

Step-2: Prime Factorization of 24962

Prime factors of 24962 are 2, 7, 1783. Prime factorization of 24962 in exponential form is:

24962 = 2¹ × 7¹ × 1783¹

Step-3: Factors of 24944

List of positive integer factors of 24944 that divides 24944 without a remainder.

1, 2, 4, 8, 16, 1559, 3118, 6236, 12472

Step-4: Factors of 24962

List of positive integer factors of 24962 that divides 24944 without a remainder.

1, 2, 7, 14, 1783, 3566, 12481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24944 and 24962. The biggest common factor number is the GCF number.
So the greatest common factor 24944 and 24962 is 2.

Also check out the Least Common Multiple of 24944 and 24962