What is the Greatest Common Factor of 3934 and 3948?

Greatest common factor (GCF) of 3934 and 3948 is 14.

GCF(3934,3948) = 14

We will now calculate the prime factors of 3934 and 3948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3934 and 3948.

How to find the GCF of 3934 and 3948?

We will first find the prime factorization of 3934 and 3948. After we will calculate the factors of 3934 and 3948 and find the biggest common factor number .

Step-1: Prime Factorization of 3934

Prime factors of 3934 are 2, 7, 281. Prime factorization of 3934 in exponential form is:

3934 = 2¹ × 7¹ × 281¹

Step-2: 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-3: Factors of 3934

List of positive integer factors of 3934 that divides 3934 without a remainder.

1, 2, 7, 14, 281, 562, 1967

Step-4: Factors of 3948

List of positive integer factors of 3948 that divides 3934 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3934 and 3948. The biggest common factor number is the GCF number.
So the greatest common factor 3934 and 3948 is 14.

Also check out the Least Common Multiple of 3934 and 3948