What is the Greatest Common Factor of 34375 and 34387?

Greatest common factor (GCF) of 34375 and 34387 is 1.

GCF(34375,34387) = 1

We will now calculate the prime factors of 34375 and 34387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34375 and 34387.

How to find the GCF of 34375 and 34387?

We will first find the prime factorization of 34375 and 34387. After we will calculate the factors of 34375 and 34387 and find the biggest common factor number .

Step-1: Prime Factorization of 34375

Prime factors of 34375 are 5, 11. Prime factorization of 34375 in exponential form is:

34375 = 5⁵ × 11¹

Step-2: Prime Factorization of 34387

Prime factors of 34387 are 137, 251. Prime factorization of 34387 in exponential form is:

34387 = 137¹ × 251¹

Step-3: Factors of 34375

List of positive integer factors of 34375 that divides 34375 without a remainder.

1, 5, 11, 25, 55, 125, 275, 625, 1375, 3125, 6875

Step-4: Factors of 34387

List of positive integer factors of 34387 that divides 34375 without a remainder.

1, 137, 251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34375 and 34387. The biggest common factor number is the GCF number.
So the greatest common factor 34375 and 34387 is 1.

Also check out the Least Common Multiple of 34375 and 34387