What is the Greatest Common Factor of 1928 and 1948?

Greatest common factor (GCF) of 1928 and 1948 is 4.

GCF(1928,1948) = 4

We will now calculate the prime factors of 1928 and 1948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1928 and 1948.

How to find the GCF of 1928 and 1948?

We will first find the prime factorization of 1928 and 1948. After we will calculate the factors of 1928 and 1948 and find the biggest common factor number .

Step-1: Prime Factorization of 1928

Prime factors of 1928 are 2, 241. Prime factorization of 1928 in exponential form is:

1928 = 2³ × 241¹

Step-2: Prime Factorization of 1948

Prime factors of 1948 are 2, 487. Prime factorization of 1948 in exponential form is:

1948 = 2² × 487¹

Step-3: Factors of 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1, 2, 4, 8, 241, 482, 964

Step-4: Factors of 1948

List of positive integer factors of 1948 that divides 1928 without a remainder.

1, 2, 4, 487, 974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1928 and 1948. The biggest common factor number is the GCF number.
So the greatest common factor 1928 and 1948 is 4.

Also check out the Least Common Multiple of 1928 and 1948