What is the Greatest Common Factor of 80052 and 80060?

Greatest common factor (GCF) of 80052 and 80060 is 4.

GCF(80052,80060) = 4

We will now calculate the prime factors of 80052 and 80060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80052 and 80060.

How to find the GCF of 80052 and 80060?

We will first find the prime factorization of 80052 and 80060. After we will calculate the factors of 80052 and 80060 and find the biggest common factor number .

Step-1: Prime Factorization of 80052

Prime factors of 80052 are 2, 3, 7, 953. Prime factorization of 80052 in exponential form is:

80052 = 2² × 3¹ × 7¹ × 953¹

Step-2: Prime Factorization of 80060

Prime factors of 80060 are 2, 5, 4003. Prime factorization of 80060 in exponential form is:

80060 = 2² × 5¹ × 4003¹

Step-3: Factors of 80052

List of positive integer factors of 80052 that divides 80052 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 953, 1906, 2859, 3812, 5718, 6671, 11436, 13342, 20013, 26684, 40026

Step-4: Factors of 80060

List of positive integer factors of 80060 that divides 80052 without a remainder.

1, 2, 4, 5, 10, 20, 4003, 8006, 16012, 20015, 40030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80052 and 80060. The biggest common factor number is the GCF number.
So the greatest common factor 80052 and 80060 is 4.

Also check out the Least Common Multiple of 80052 and 80060