What is the Greatest Common Factor of 3948 and 3954?

Greatest common factor (GCF) of 3948 and 3954 is 6.

GCF(3948,3954) = 6

We will now calculate the prime factors of 3948 and 3954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3948 and 3954.

How to find the GCF of 3948 and 3954?

We will first find the prime factorization of 3948 and 3954. After we will calculate the factors of 3948 and 3954 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 3954

Prime factors of 3954 are 2, 3, 659. Prime factorization of 3954 in exponential form is:

3954 = 2¹ × 3¹ × 659¹

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 3954

List of positive integer factors of 3954 that divides 3948 without a remainder.

1, 2, 3, 6, 659, 1318, 1977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3948 and 3954. The biggest common factor number is the GCF number.
So the greatest common factor 3948 and 3954 is 6.

Also check out the Least Common Multiple of 3948 and 3954