What is the Greatest Common Factor of 1936 and 1948?

Greatest common factor (GCF) of 1936 and 1948 is 4.

GCF(1936,1948) = 4

We will now calculate the prime factors of 1936 and 1948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1936 and 1948.

How to find the GCF of 1936 and 1948?

We will first find the prime factorization of 1936 and 1948. After we will calculate the factors of 1936 and 1948 and find the biggest common factor number .

Step-1: Prime Factorization of 1936

Prime factors of 1936 are 2, 11. Prime factorization of 1936 in exponential form is:

1936 = 2⁴ × 11²

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 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968

Step-4: Factors of 1948

List of positive integer factors of 1948 that divides 1936 without a remainder.

1, 2, 4, 487, 974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1936 and 1948. The biggest common factor number is the GCF number.
So the greatest common factor 1936 and 1948 is 4.

Also check out the Least Common Multiple of 1936 and 1948