What is the Greatest Common Factor of 59381 and 59387?

Greatest common factor (GCF) of 59381 and 59387 is 1.

GCF(59381,59387) = 1

We will now calculate the prime factors of 59381 and 59387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59381 and 59387.

How to find the GCF of 59381 and 59387?

We will first find the prime factorization of 59381 and 59387. After we will calculate the factors of 59381 and 59387 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59387

Prime factors of 59387 are 59387. Prime factorization of 59387 in exponential form is:

59387 = 59387¹

Step-3: Factors of 59381

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

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

Step-4: Factors of 59387

List of positive integer factors of 59387 that divides 59381 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59381 and 59387. The biggest common factor number is the GCF number.
So the greatest common factor 59381 and 59387 is 1.

Also check out the Least Common Multiple of 59381 and 59387