What is the Greatest Common Factor of 60164 and 60176?

Greatest common factor (GCF) of 60164 and 60176 is 4.

GCF(60164,60176) = 4

We will now calculate the prime factors of 60164 and 60176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60164 and 60176.

How to find the GCF of 60164 and 60176?

We will first find the prime factorization of 60164 and 60176. After we will calculate the factors of 60164 and 60176 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 60176

Prime factors of 60176 are 2, 3761. Prime factorization of 60176 in exponential form is:

60176 = 2⁴ × 3761¹

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 60176

List of positive integer factors of 60176 that divides 60164 without a remainder.

1, 2, 4, 8, 16, 3761, 7522, 15044, 30088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60164 and 60176. The biggest common factor number is the GCF number.
So the greatest common factor 60164 and 60176 is 4.

Also check out the Least Common Multiple of 60164 and 60176