What is the Greatest Common Factor of 63364 and 63377?

Greatest common factor (GCF) of 63364 and 63377 is 1.

GCF(63364,63377) = 1

We will now calculate the prime factors of 63364 and 63377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63364 and 63377.

How to find the GCF of 63364 and 63377?

We will first find the prime factorization of 63364 and 63377. After we will calculate the factors of 63364 and 63377 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 63377

Prime factors of 63377 are 63377. Prime factorization of 63377 in exponential form is:

63377 = 63377¹

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 63377

List of positive integer factors of 63377 that divides 63364 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63364 and 63377. The biggest common factor number is the GCF number.
So the greatest common factor 63364 and 63377 is 1.

Also check out the Least Common Multiple of 63364 and 63377