What is the Greatest Common Factor of 6160 and 6172?

Greatest common factor (GCF) of 6160 and 6172 is 4.

GCF(6160,6172) = 4

We will now calculate the prime factors of 6160 and 6172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6160 and 6172.

How to find the GCF of 6160 and 6172?

We will first find the prime factorization of 6160 and 6172. After we will calculate the factors of 6160 and 6172 and find the biggest common factor number .

Step-1: Prime Factorization of 6160

Prime factors of 6160 are 2, 5, 7, 11. Prime factorization of 6160 in exponential form is:

6160 = 2⁴ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 6172

Prime factors of 6172 are 2, 1543. Prime factorization of 6172 in exponential form is:

6172 = 2² × 1543¹

Step-3: Factors of 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080

Step-4: Factors of 6172

List of positive integer factors of 6172 that divides 6160 without a remainder.

1, 2, 4, 1543, 3086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6160 and 6172. The biggest common factor number is the GCF number.
So the greatest common factor 6160 and 6172 is 4.

Also check out the Least Common Multiple of 6160 and 6172