What is the Greatest Common Factor of 4160 and 4170?

Greatest common factor (GCF) of 4160 and 4170 is 10.

GCF(4160,4170) = 10

We will now calculate the prime factors of 4160 and 4170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4160 and 4170.

How to find the GCF of 4160 and 4170?

We will first find the prime factorization of 4160 and 4170. After we will calculate the factors of 4160 and 4170 and find the biggest common factor number .

Step-1: Prime Factorization of 4160

Prime factors of 4160 are 2, 5, 13. Prime factorization of 4160 in exponential form is:

4160 = 2⁶ × 5¹ × 13¹

Step-2: Prime Factorization of 4170

Prime factors of 4170 are 2, 3, 5, 139. Prime factorization of 4170 in exponential form is:

4170 = 2¹ × 3¹ × 5¹ × 139¹

Step-3: Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080

Step-4: Factors of 4170

List of positive integer factors of 4170 that divides 4160 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4160 and 4170. The biggest common factor number is the GCF number.
So the greatest common factor 4160 and 4170 is 10.

Also check out the Least Common Multiple of 4160 and 4170