What is the Greatest Common Factor of 59367 and 59378?

Greatest common factor (GCF) of 59367 and 59378 is 11.

GCF(59367,59378) = 11

We will now calculate the prime factors of 59367 and 59378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59367 and 59378.

How to find the GCF of 59367 and 59378?

We will first find the prime factorization of 59367 and 59378. After we will calculate the factors of 59367 and 59378 and find the biggest common factor number .

Step-1: Prime Factorization of 59367

Prime factors of 59367 are 3, 7, 11, 257. Prime factorization of 59367 in exponential form is:

59367 = 3¹ × 7¹ × 11¹ × 257¹

Step-2: Prime Factorization of 59378

Prime factors of 59378 are 2, 11, 2699. Prime factorization of 59378 in exponential form is:

59378 = 2¹ × 11¹ × 2699¹

Step-3: Factors of 59367

List of positive integer factors of 59367 that divides 59367 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 257, 771, 1799, 2827, 5397, 8481, 19789

Step-4: Factors of 59378

List of positive integer factors of 59378 that divides 59367 without a remainder.

1, 2, 11, 22, 2699, 5398, 29689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59367 and 59378. The biggest common factor number is the GCF number.
So the greatest common factor 59367 and 59378 is 11.

Also check out the Least Common Multiple of 59367 and 59378