What is the Greatest Common Factor of 24944 and 24956?

Greatest common factor (GCF) of 24944 and 24956 is 4.

GCF(24944,24956) = 4

We will now calculate the prime factors of 24944 and 24956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24944 and 24956.

How to find the GCF of 24944 and 24956?

We will first find the prime factorization of 24944 and 24956. After we will calculate the factors of 24944 and 24956 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 24956

Prime factors of 24956 are 2, 17, 367. Prime factorization of 24956 in exponential form is:

24956 = 2² × 17¹ × 367¹

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 24956

List of positive integer factors of 24956 that divides 24944 without a remainder.

1, 2, 4, 17, 34, 68, 367, 734, 1468, 6239, 12478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24944 and 24956. The biggest common factor number is the GCF number.
So the greatest common factor 24944 and 24956 is 4.

Also check out the Least Common Multiple of 24944 and 24956