What is the Greatest Common Factor of 28940 and 28948?

Greatest common factor (GCF) of 28940 and 28948 is 4.

GCF(28940,28948) = 4

We will now calculate the prime factors of 28940 and 28948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28940 and 28948.

How to find the GCF of 28940 and 28948?

We will first find the prime factorization of 28940 and 28948. After we will calculate the factors of 28940 and 28948 and find the biggest common factor number .

Step-1: Prime Factorization of 28940

Prime factors of 28940 are 2, 5, 1447. Prime factorization of 28940 in exponential form is:

28940 = 2² × 5¹ × 1447¹

Step-2: Prime Factorization of 28948

Prime factors of 28948 are 2, 7237. Prime factorization of 28948 in exponential form is:

28948 = 2² × 7237¹

Step-3: Factors of 28940

List of positive integer factors of 28940 that divides 28940 without a remainder.

1, 2, 4, 5, 10, 20, 1447, 2894, 5788, 7235, 14470

Step-4: Factors of 28948

List of positive integer factors of 28948 that divides 28940 without a remainder.

1, 2, 4, 7237, 14474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28940 and 28948. The biggest common factor number is the GCF number.
So the greatest common factor 28940 and 28948 is 4.

Also check out the Least Common Multiple of 28940 and 28948