What is the Greatest Common Factor of 4360 and 4370?

Greatest common factor (GCF) of 4360 and 4370 is 10.

GCF(4360,4370) = 10

We will now calculate the prime factors of 4360 and 4370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4360 and 4370.

How to find the GCF of 4360 and 4370?

We will first find the prime factorization of 4360 and 4370. After we will calculate the factors of 4360 and 4370 and find the biggest common factor number .

Step-1: Prime Factorization of 4360

Prime factors of 4360 are 2, 5, 109. Prime factorization of 4360 in exponential form is:

4360 = 2³ × 5¹ × 109¹

Step-2: Prime Factorization of 4370

Prime factors of 4370 are 2, 5, 19, 23. Prime factorization of 4370 in exponential form is:

4370 = 2¹ × 5¹ × 19¹ × 23¹

Step-3: Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180

Step-4: Factors of 4370

List of positive integer factors of 4370 that divides 4360 without a remainder.

1, 2, 5, 10, 19, 23, 38, 46, 95, 115, 190, 230, 437, 874, 2185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4360 and 4370. The biggest common factor number is the GCF number.
So the greatest common factor 4360 and 4370 is 10.

Also check out the Least Common Multiple of 4360 and 4370