What is the Greatest Common Factor of 60165 and 60172?

Greatest common factor (GCF) of 60165 and 60172 is 7.

GCF(60165,60172) = 7

We will now calculate the prime factors of 60165 and 60172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60165 and 60172.

How to find the GCF of 60165 and 60172?

We will first find the prime factorization of 60165 and 60172. After we will calculate the factors of 60165 and 60172 and find the biggest common factor number .

Step-1: Prime Factorization of 60165

Prime factors of 60165 are 3, 5, 7, 191. Prime factorization of 60165 in exponential form is:

60165 = 3² × 5¹ × 7¹ × 191¹

Step-2: Prime Factorization of 60172

Prime factors of 60172 are 2, 7, 307. Prime factorization of 60172 in exponential form is:

60172 = 2² × 7² × 307¹

Step-3: Factors of 60165

List of positive integer factors of 60165 that divides 60165 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 191, 315, 573, 955, 1337, 1719, 2865, 4011, 6685, 8595, 12033, 20055

Step-4: Factors of 60172

List of positive integer factors of 60172 that divides 60165 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 307, 614, 1228, 2149, 4298, 8596, 15043, 30086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60165 and 60172. The biggest common factor number is the GCF number.
So the greatest common factor 60165 and 60172 is 7.

Also check out the Least Common Multiple of 60165 and 60172