What is the Greatest Common Factor of 60074 and 60088?

Greatest common factor (GCF) of 60074 and 60088 is 14.

GCF(60074,60088) = 14

We will now calculate the prime factors of 60074 and 60088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60074 and 60088.

How to find the GCF of 60074 and 60088?

We will first find the prime factorization of 60074 and 60088. After we will calculate the factors of 60074 and 60088 and find the biggest common factor number .

Step-1: Prime Factorization of 60074

Prime factors of 60074 are 2, 7, 613. Prime factorization of 60074 in exponential form is:

60074 = 2¹ × 7² × 613¹

Step-2: Prime Factorization of 60088

Prime factors of 60088 are 2, 7, 29, 37. Prime factorization of 60088 in exponential form is:

60088 = 2³ × 7¹ × 29¹ × 37¹

Step-3: Factors of 60074

List of positive integer factors of 60074 that divides 60074 without a remainder.

1, 2, 7, 14, 49, 98, 613, 1226, 4291, 8582, 30037

Step-4: Factors of 60088

List of positive integer factors of 60088 that divides 60074 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 37, 56, 58, 74, 116, 148, 203, 232, 259, 296, 406, 518, 812, 1036, 1073, 1624, 2072, 2146, 4292, 7511, 8584, 15022, 30044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60074 and 60088. The biggest common factor number is the GCF number.
So the greatest common factor 60074 and 60088 is 14.

Also check out the Least Common Multiple of 60074 and 60088