What is the Greatest Common Factor of 24961 and 24973?

Greatest common factor (GCF) of 24961 and 24973 is 1.

GCF(24961,24973) = 1

We will now calculate the prime factors of 24961 and 24973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24961 and 24973.

How to find the GCF of 24961 and 24973?

We will first find the prime factorization of 24961 and 24973. After we will calculate the factors of 24961 and 24973 and find the biggest common factor number .

Step-1: Prime Factorization of 24961

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

24961 = 109¹ × 229¹

Step-2: Prime Factorization of 24973

Prime factors of 24973 are 13, 17, 113. Prime factorization of 24973 in exponential form is:

24973 = 13¹ × 17¹ × 113¹

Step-3: Factors of 24961

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

1, 109, 229

Step-4: Factors of 24973

List of positive integer factors of 24973 that divides 24961 without a remainder.

1, 13, 17, 113, 221, 1469, 1921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24961 and 24973. The biggest common factor number is the GCF number.
So the greatest common factor 24961 and 24973 is 1.

Also check out the Least Common Multiple of 24961 and 24973