What is the Greatest Common Factor of 3948 and 3958?

Greatest common factor (GCF) of 3948 and 3958 is 2.

GCF(3948,3958) = 2

We will now calculate the prime factors of 3948 and 3958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3948 and 3958.

How to find the GCF of 3948 and 3958?

We will first find the prime factorization of 3948 and 3958. After we will calculate the factors of 3948 and 3958 and find the biggest common factor number .

Step-1: Prime Factorization of 3948

Prime factors of 3948 are 2, 3, 7, 47. Prime factorization of 3948 in exponential form is:

3948 = 2² × 3¹ × 7¹ × 47¹

Step-2: Prime Factorization of 3958

Prime factors of 3958 are 2, 1979. Prime factorization of 3958 in exponential form is:

3958 = 2¹ × 1979¹

Step-3: Factors of 3948

List of positive integer factors of 3948 that divides 3948 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 84, 94, 141, 188, 282, 329, 564, 658, 987, 1316, 1974

Step-4: Factors of 3958

List of positive integer factors of 3958 that divides 3948 without a remainder.

1, 2, 1979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3948 and 3958. The biggest common factor number is the GCF number.
So the greatest common factor 3948 and 3958 is 2.

Also check out the Least Common Multiple of 3948 and 3958