What is the Greatest Common Factor of 1947 and 1958?

Greatest common factor (GCF) of 1947 and 1958 is 11.

GCF(1947,1958) = 11

We will now calculate the prime factors of 1947 and 1958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1947 and 1958.

How to find the GCF of 1947 and 1958?

We will first find the prime factorization of 1947 and 1958. After we will calculate the factors of 1947 and 1958 and find the biggest common factor number .

Step-1: Prime Factorization of 1947

Prime factors of 1947 are 3, 11, 59. Prime factorization of 1947 in exponential form is:

1947 = 3¹ × 11¹ × 59¹

Step-2: Prime Factorization of 1958

Prime factors of 1958 are 2, 11, 89. Prime factorization of 1958 in exponential form is:

1958 = 2¹ × 11¹ × 89¹

Step-3: Factors of 1947

List of positive integer factors of 1947 that divides 1947 without a remainder.

1, 3, 11, 33, 59, 177, 649

Step-4: Factors of 1958

List of positive integer factors of 1958 that divides 1947 without a remainder.

1, 2, 11, 22, 89, 178, 979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1947 and 1958. The biggest common factor number is the GCF number.
So the greatest common factor 1947 and 1958 is 11.

Also check out the Least Common Multiple of 1947 and 1958