What is the Greatest Common Factor of 2938 and 2948?

Greatest common factor (GCF) of 2938 and 2948 is 2.

GCF(2938,2948) = 2

We will now calculate the prime factors of 2938 and 2948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2938 and 2948.

How to find the GCF of 2938 and 2948?

We will first find the prime factorization of 2938 and 2948. After we will calculate the factors of 2938 and 2948 and find the biggest common factor number .

Step-1: Prime Factorization of 2938

Prime factors of 2938 are 2, 13, 113. Prime factorization of 2938 in exponential form is:

2938 = 2¹ × 13¹ × 113¹

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 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1, 2, 13, 26, 113, 226, 1469

Step-4: Factors of 2948

List of positive integer factors of 2948 that divides 2938 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 2938 and 2948. The biggest common factor number is the GCF number.
So the greatest common factor 2938 and 2948 is 2.

Also check out the Least Common Multiple of 2938 and 2948