What is the Greatest Common Factor of 1948 and 1964?

Greatest common factor (GCF) of 1948 and 1964 is 4.

GCF(1948,1964) = 4

We will now calculate the prime factors of 1948 and 1964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1948 and 1964.

How to find the GCF of 1948 and 1964?

We will first find the prime factorization of 1948 and 1964. After we will calculate the factors of 1948 and 1964 and find the biggest common factor number .

Step-1: Prime Factorization of 1948

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

1948 = 2² × 487¹

Step-2: Prime Factorization of 1964

Prime factors of 1964 are 2, 491. Prime factorization of 1964 in exponential form is:

1964 = 2² × 491¹

Step-3: Factors of 1948

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

1, 2, 4, 487, 974

Step-4: Factors of 1964

List of positive integer factors of 1964 that divides 1948 without a remainder.

1, 2, 4, 491, 982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1948 and 1964. The biggest common factor number is the GCF number.
So the greatest common factor 1948 and 1964 is 4.

Also check out the Least Common Multiple of 1948 and 1964