What is the Greatest Common Factor of 60164 and 60177?

Greatest common factor (GCF) of 60164 and 60177 is 13.

GCF(60164,60177) = 13

We will now calculate the prime factors of 60164 and 60177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60164 and 60177.

How to find the GCF of 60164 and 60177?

We will first find the prime factorization of 60164 and 60177. After we will calculate the factors of 60164 and 60177 and find the biggest common factor number .

Step-1: Prime Factorization of 60164

Prime factors of 60164 are 2, 13, 89. Prime factorization of 60164 in exponential form is:

60164 = 2² × 13² × 89¹

Step-2: Prime Factorization of 60177

Prime factors of 60177 are 3, 13, 1543. Prime factorization of 60177 in exponential form is:

60177 = 3¹ × 13¹ × 1543¹

Step-3: Factors of 60164

List of positive integer factors of 60164 that divides 60164 without a remainder.

1, 2, 4, 13, 26, 52, 89, 169, 178, 338, 356, 676, 1157, 2314, 4628, 15041, 30082

Step-4: Factors of 60177

List of positive integer factors of 60177 that divides 60164 without a remainder.

1, 3, 13, 39, 1543, 4629, 20059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60164 and 60177. The biggest common factor number is the GCF number.
So the greatest common factor 60164 and 60177 is 13.

Also check out the Least Common Multiple of 60164 and 60177