What is the Greatest Common Factor of 18928 and 18948?

Greatest common factor (GCF) of 18928 and 18948 is 4.

GCF(18928,18948) = 4

We will now calculate the prime factors of 18928 and 18948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18928 and 18948.

How to find the GCF of 18928 and 18948?

We will first find the prime factorization of 18928 and 18948. After we will calculate the factors of 18928 and 18948 and find the biggest common factor number .

Step-1: Prime Factorization of 18928

Prime factors of 18928 are 2, 7, 13. Prime factorization of 18928 in exponential form is:

18928 = 2⁴ × 7¹ × 13²

Step-2: Prime Factorization of 18948

Prime factors of 18948 are 2, 3, 1579. Prime factorization of 18948 in exponential form is:

18948 = 2² × 3¹ × 1579¹

Step-3: Factors of 18928

List of positive integer factors of 18928 that divides 18928 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 169, 182, 208, 338, 364, 676, 728, 1183, 1352, 1456, 2366, 2704, 4732, 9464

Step-4: Factors of 18948

List of positive integer factors of 18948 that divides 18928 without a remainder.

1, 2, 3, 4, 6, 12, 1579, 3158, 4737, 6316, 9474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18928 and 18948. The biggest common factor number is the GCF number.
So the greatest common factor 18928 and 18948 is 4.

Also check out the Least Common Multiple of 18928 and 18948