What is the Greatest Common Factor of 24944 and 24961?

Greatest common factor (GCF) of 24944 and 24961 is 1.

GCF(24944,24961) = 1

We will now calculate the prime factors of 24944 and 24961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24944 and 24961.

How to find the GCF of 24944 and 24961?

We will first find the prime factorization of 24944 and 24961. After we will calculate the factors of 24944 and 24961 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 24961

Prime factors of 24961 are 109, 229. Prime factorization of 24961 in exponential form is:

24961 = 109¹ × 229¹

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 24961

List of positive integer factors of 24961 that divides 24944 without a remainder.

1, 109, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24944 and 24961. The biggest common factor number is the GCF number.
So the greatest common factor 24944 and 24961 is 1.

Also check out the Least Common Multiple of 24944 and 24961