What is the Greatest Common Factor of 59367 and 59381?

Greatest common factor (GCF) of 59367 and 59381 is 7.

GCF(59367,59381) = 7

We will now calculate the prime factors of 59367 and 59381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59367 and 59381.

How to find the GCF of 59367 and 59381?

We will first find the prime factorization of 59367 and 59381. After we will calculate the factors of 59367 and 59381 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 59381

Prime factors of 59381 are 7, 17, 499. Prime factorization of 59381 in exponential form is:

59381 = 7¹ × 17¹ × 499¹

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 59381

List of positive integer factors of 59381 that divides 59367 without a remainder.

1, 7, 17, 119, 499, 3493, 8483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59367 and 59381. The biggest common factor number is the GCF number.
So the greatest common factor 59367 and 59381 is 7.

Also check out the Least Common Multiple of 59367 and 59381