What is the Greatest Common Factor of 63357 and 63364?

Greatest common factor (GCF) of 63357 and 63364 is 7.

GCF(63357,63364) = 7

We will now calculate the prime factors of 63357 and 63364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63357 and 63364.

How to find the GCF of 63357 and 63364?

We will first find the prime factorization of 63357 and 63364. After we will calculate the factors of 63357 and 63364 and find the biggest common factor number .

Step-1: Prime Factorization of 63357

Prime factors of 63357 are 3, 7, 431. Prime factorization of 63357 in exponential form is:

63357 = 3¹ × 7² × 431¹

Step-2: 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-3: Factors of 63357

List of positive integer factors of 63357 that divides 63357 without a remainder.

1, 3, 7, 21, 49, 147, 431, 1293, 3017, 9051, 21119

Step-4: Factors of 63364

List of positive integer factors of 63364 that divides 63357 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63357 and 63364. The biggest common factor number is the GCF number.
So the greatest common factor 63357 and 63364 is 7.

Also check out the Least Common Multiple of 63357 and 63364