What is the Greatest Common Factor of 24964 and 24975?

Greatest common factor (GCF) of 24964 and 24975 is 1.

GCF(24964,24975) = 1

We will now calculate the prime factors of 24964 and 24975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24964 and 24975.

How to find the GCF of 24964 and 24975?

We will first find the prime factorization of 24964 and 24975. After we will calculate the factors of 24964 and 24975 and find the biggest common factor number .

Step-1: Prime Factorization of 24964

Prime factors of 24964 are 2, 79. Prime factorization of 24964 in exponential form is:

24964 = 2² × 79²

Step-2: Prime Factorization of 24975

Prime factors of 24975 are 3, 5, 37. Prime factorization of 24975 in exponential form is:

24975 = 3³ × 5² × 37¹

Step-3: Factors of 24964

List of positive integer factors of 24964 that divides 24964 without a remainder.

1, 2, 4, 79, 158, 316, 6241, 12482

Step-4: Factors of 24975

List of positive integer factors of 24975 that divides 24964 without a remainder.

1, 3, 5, 9, 15, 25, 27, 37, 45, 75, 111, 135, 185, 225, 333, 555, 675, 925, 999, 1665, 2775, 4995, 8325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24964 and 24975. The biggest common factor number is the GCF number.
So the greatest common factor 24964 and 24975 is 1.

Also check out the Least Common Multiple of 24964 and 24975