What is the Greatest Common Factor of 24976 and 24980?

Greatest common factor (GCF) of 24976 and 24980 is 4.

GCF(24976,24980) = 4

We will now calculate the prime factors of 24976 and 24980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24976 and 24980.

How to find the GCF of 24976 and 24980?

We will first find the prime factorization of 24976 and 24980. After we will calculate the factors of 24976 and 24980 and find the biggest common factor number .

Step-1: Prime Factorization of 24976

Prime factors of 24976 are 2, 7, 223. Prime factorization of 24976 in exponential form is:

24976 = 2⁴ × 7¹ × 223¹

Step-2: Prime Factorization of 24980

Prime factors of 24980 are 2, 5, 1249. Prime factorization of 24980 in exponential form is:

24980 = 2² × 5¹ × 1249¹

Step-3: Factors of 24976

List of positive integer factors of 24976 that divides 24976 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 223, 446, 892, 1561, 1784, 3122, 3568, 6244, 12488

Step-4: Factors of 24980

List of positive integer factors of 24980 that divides 24976 without a remainder.

1, 2, 4, 5, 10, 20, 1249, 2498, 4996, 6245, 12490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24976 and 24980. The biggest common factor number is the GCF number.
So the greatest common factor 24976 and 24980 is 4.

Also check out the Least Common Multiple of 24976 and 24980