What is the Greatest Common Factor of 2937 and 2948?

Greatest common factor (GCF) of 2937 and 2948 is 11.

GCF(2937,2948) = 11

We will now calculate the prime factors of 2937 and 2948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2937 and 2948.

How to find the GCF of 2937 and 2948?

We will first find the prime factorization of 2937 and 2948. After we will calculate the factors of 2937 and 2948 and find the biggest common factor number .

Step-1: Prime Factorization of 2937

Prime factors of 2937 are 3, 11, 89. Prime factorization of 2937 in exponential form is:

2937 = 3¹ × 11¹ × 89¹

Step-2: Prime Factorization of 2948

Prime factors of 2948 are 2, 11, 67. Prime factorization of 2948 in exponential form is:

2948 = 2² × 11¹ × 67¹

Step-3: Factors of 2937

List of positive integer factors of 2937 that divides 2937 without a remainder.

1, 3, 11, 33, 89, 267, 979

Step-4: Factors of 2948

List of positive integer factors of 2948 that divides 2937 without a remainder.

1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2937 and 2948. The biggest common factor number is the GCF number.
So the greatest common factor 2937 and 2948 is 11.

Also check out the Least Common Multiple of 2937 and 2948