What is the Greatest Common Factor of 4361 and 4375?

Greatest common factor (GCF) of 4361 and 4375 is 7.

GCF(4361,4375) = 7

We will now calculate the prime factors of 4361 and 4375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4361 and 4375.

How to find the GCF of 4361 and 4375?

We will first find the prime factorization of 4361 and 4375. After we will calculate the factors of 4361 and 4375 and find the biggest common factor number .

Step-1: Prime Factorization of 4361

Prime factors of 4361 are 7, 89. Prime factorization of 4361 in exponential form is:

4361 = 7² × 89¹

Step-2: Prime Factorization of 4375

Prime factors of 4375 are 5, 7. Prime factorization of 4375 in exponential form is:

4375 = 5⁴ × 7¹

Step-3: Factors of 4361

List of positive integer factors of 4361 that divides 4361 without a remainder.

1, 7, 49, 89, 623

Step-4: Factors of 4375

List of positive integer factors of 4375 that divides 4361 without a remainder.

1, 5, 7, 25, 35, 125, 175, 625, 875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4361 and 4375. The biggest common factor number is the GCF number.
So the greatest common factor 4361 and 4375 is 7.

Also check out the Least Common Multiple of 4361 and 4375