What is the Greatest Common Factor of 34364 and 34375?

Greatest common factor (GCF) of 34364 and 34375 is 11.

GCF(34364,34375) = 11

We will now calculate the prime factors of 34364 and 34375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34364 and 34375.

How to find the GCF of 34364 and 34375?

We will first find the prime factorization of 34364 and 34375. After we will calculate the factors of 34364 and 34375 and find the biggest common factor number .

Step-1: Prime Factorization of 34364

Prime factors of 34364 are 2, 11, 71. Prime factorization of 34364 in exponential form is:

34364 = 2² × 11² × 71¹

Step-2: Prime Factorization of 34375

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

34375 = 5⁵ × 11¹

Step-3: Factors of 34364

List of positive integer factors of 34364 that divides 34364 without a remainder.

1, 2, 4, 11, 22, 44, 71, 121, 142, 242, 284, 484, 781, 1562, 3124, 8591, 17182

Step-4: Factors of 34375

List of positive integer factors of 34375 that divides 34364 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34364 and 34375. The biggest common factor number is the GCF number.
So the greatest common factor 34364 and 34375 is 11.

Also check out the Least Common Multiple of 34364 and 34375