What is the Greatest Common Factor of 60072 and 60092?

Greatest common factor (GCF) of 60072 and 60092 is 4.

GCF(60072,60092) = 4

We will now calculate the prime factors of 60072 and 60092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60072 and 60092.

How to find the GCF of 60072 and 60092?

We will first find the prime factorization of 60072 and 60092. After we will calculate the factors of 60072 and 60092 and find the biggest common factor number .

Step-1: Prime Factorization of 60072

Prime factors of 60072 are 2, 3, 2503. Prime factorization of 60072 in exponential form is:

60072 = 2³ × 3¹ × 2503¹

Step-2: Prime Factorization of 60092

Prime factors of 60092 are 2, 83, 181. Prime factorization of 60092 in exponential form is:

60092 = 2² × 83¹ × 181¹

Step-3: Factors of 60072

List of positive integer factors of 60072 that divides 60072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2503, 5006, 7509, 10012, 15018, 20024, 30036

Step-4: Factors of 60092

List of positive integer factors of 60092 that divides 60072 without a remainder.

1, 2, 4, 83, 166, 181, 332, 362, 724, 15023, 30046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60072 and 60092. The biggest common factor number is the GCF number.
So the greatest common factor 60072 and 60092 is 4.

Also check out the Least Common Multiple of 60072 and 60092