What is the Greatest Common Factor of 63924 and 63944?

Greatest common factor (GCF) of 63924 and 63944 is 4.

GCF(63924,63944) = 4

We will now calculate the prime factors of 63924 and 63944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63924 and 63944.

How to find the GCF of 63924 and 63944?

We will first find the prime factorization of 63924 and 63944. After we will calculate the factors of 63924 and 63944 and find the biggest common factor number .

Step-1: Prime Factorization of 63924

Prime factors of 63924 are 2, 3, 7, 761. Prime factorization of 63924 in exponential form is:

63924 = 2² × 3¹ × 7¹ × 761¹

Step-2: Prime Factorization of 63944

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

63944 = 2³ × 7993¹

Step-3: Factors of 63924

List of positive integer factors of 63924 that divides 63924 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 761, 1522, 2283, 3044, 4566, 5327, 9132, 10654, 15981, 21308, 31962

Step-4: Factors of 63944

List of positive integer factors of 63944 that divides 63924 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63924 and 63944. The biggest common factor number is the GCF number.
So the greatest common factor 63924 and 63944 is 4.

Also check out the Least Common Multiple of 63924 and 63944