What is the Greatest Common Factor of 63364 and 63378?

Greatest common factor (GCF) of 63364 and 63378 is 14.

GCF(63364,63378) = 14

We will now calculate the prime factors of 63364 and 63378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63364 and 63378.

How to find the GCF of 63364 and 63378?

We will first find the prime factorization of 63364 and 63378. After we will calculate the factors of 63364 and 63378 and find the biggest common factor number .

Step-1: Prime Factorization of 63364

Prime factors of 63364 are 2, 7, 31, 73. Prime factorization of 63364 in exponential form is:

63364 = 2² × 7¹ × 31¹ × 73¹

Step-2: Prime Factorization of 63378

Prime factors of 63378 are 2, 3, 7, 503. Prime factorization of 63378 in exponential form is:

63378 = 2¹ × 3² × 7¹ × 503¹

Step-3: Factors of 63364

List of positive integer factors of 63364 that divides 63364 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 73, 124, 146, 217, 292, 434, 511, 868, 1022, 2044, 2263, 4526, 9052, 15841, 31682

Step-4: Factors of 63378

List of positive integer factors of 63378 that divides 63364 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 503, 1006, 1509, 3018, 3521, 4527, 7042, 9054, 10563, 21126, 31689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63364 and 63378. The biggest common factor number is the GCF number.
So the greatest common factor 63364 and 63378 is 14.

Also check out the Least Common Multiple of 63364 and 63378