What is the Greatest Common Factor of 96052 and 96060?

Greatest common factor (GCF) of 96052 and 96060 is 4.

GCF(96052,96060) = 4

We will now calculate the prime factors of 96052 and 96060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96052 and 96060.

How to find the GCF of 96052 and 96060?

We will first find the prime factorization of 96052 and 96060. After we will calculate the factors of 96052 and 96060 and find the biggest common factor number .

Step-1: Prime Factorization of 96052

Prime factors of 96052 are 2, 11, 37, 59. Prime factorization of 96052 in exponential form is:

96052 = 2² × 11¹ × 37¹ × 59¹

Step-2: Prime Factorization of 96060

Prime factors of 96060 are 2, 3, 5, 1601. Prime factorization of 96060 in exponential form is:

96060 = 2² × 3¹ × 5¹ × 1601¹

Step-3: Factors of 96052

List of positive integer factors of 96052 that divides 96052 without a remainder.

1, 2, 4, 11, 22, 37, 44, 59, 74, 118, 148, 236, 407, 649, 814, 1298, 1628, 2183, 2596, 4366, 8732, 24013, 48026

Step-4: Factors of 96060

List of positive integer factors of 96060 that divides 96052 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1601, 3202, 4803, 6404, 8005, 9606, 16010, 19212, 24015, 32020, 48030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96052 and 96060. The biggest common factor number is the GCF number.
So the greatest common factor 96052 and 96060 is 4.

Also check out the Least Common Multiple of 96052 and 96060