What is the Greatest Common Factor of 63944 and 63948?

Greatest common factor (GCF) of 63944 and 63948 is 4.

GCF(63944,63948) = 4

We will now calculate the prime factors of 63944 and 63948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63944 and 63948.

How to find the GCF of 63944 and 63948?

We will first find the prime factorization of 63944 and 63948. After we will calculate the factors of 63944 and 63948 and find the biggest common factor number .

Step-1: Prime Factorization of 63944

Prime factors of 63944 are 2, 7993. Prime factorization of 63944 in exponential form is:

63944 = 2³ × 7993¹

Step-2: Prime Factorization of 63948

Prime factors of 63948 are 2, 3, 73. Prime factorization of 63948 in exponential form is:

63948 = 2² × 3¹ × 73²

Step-3: Factors of 63944

List of positive integer factors of 63944 that divides 63944 without a remainder.

1, 2, 4, 8, 7993, 15986, 31972

Step-4: Factors of 63948

List of positive integer factors of 63948 that divides 63944 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876, 5329, 10658, 15987, 21316, 31974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63944 and 63948. The biggest common factor number is the GCF number.
So the greatest common factor 63944 and 63948 is 4.

Also check out the Least Common Multiple of 63944 and 63948