What is the Greatest Common Factor of 3948 and 3962?

Greatest common factor (GCF) of 3948 and 3962 is 14.

GCF(3948,3962) = 14

We will now calculate the prime factors of 3948 and 3962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3948 and 3962.

How to find the GCF of 3948 and 3962?

We will first find the prime factorization of 3948 and 3962. After we will calculate the factors of 3948 and 3962 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 3962

Prime factors of 3962 are 2, 7, 283. Prime factorization of 3962 in exponential form is:

3962 = 2¹ × 7¹ × 283¹

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 3962

List of positive integer factors of 3962 that divides 3948 without a remainder.

1, 2, 7, 14, 283, 566, 1981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3948 and 3962. The biggest common factor number is the GCF number.
So the greatest common factor 3948 and 3962 is 14.

Also check out the Least Common Multiple of 3948 and 3962