What is the Greatest Common Factor of 24962 and 24972?

Greatest common factor (GCF) of 24962 and 24972 is 2.

GCF(24962,24972) = 2

We will now calculate the prime factors of 24962 and 24972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24962 and 24972.

How to find the GCF of 24962 and 24972?

We will first find the prime factorization of 24962 and 24972. After we will calculate the factors of 24962 and 24972 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24972

Prime factors of 24972 are 2, 3, 2081. Prime factorization of 24972 in exponential form is:

24972 = 2² × 3¹ × 2081¹

Step-3: Factors of 24962

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

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

Step-4: Factors of 24972

List of positive integer factors of 24972 that divides 24962 without a remainder.

1, 2, 3, 4, 6, 12, 2081, 4162, 6243, 8324, 12486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24962 and 24972. The biggest common factor number is the GCF number.
So the greatest common factor 24962 and 24972 is 2.

Also check out the Least Common Multiple of 24962 and 24972