What is the Greatest Common Factor of 63364 and 63379?

Greatest common factor (GCF) of 63364 and 63379 is 1.

GCF(63364,63379) = 1

We will now calculate the prime factors of 63364 and 63379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63364 and 63379.

How to find the GCF of 63364 and 63379?

We will first find the prime factorization of 63364 and 63379. After we will calculate the factors of 63364 and 63379 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 63379

Prime factors of 63379 are 61, 1039. Prime factorization of 63379 in exponential form is:

63379 = 61¹ × 1039¹

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 63379

List of positive integer factors of 63379 that divides 63364 without a remainder.

1, 61, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63364 and 63379. The biggest common factor number is the GCF number.
So the greatest common factor 63364 and 63379 is 1.

Also check out the Least Common Multiple of 63364 and 63379