What is the Greatest Common Factor of 74052 and 74060?

Greatest common factor (GCF) of 74052 and 74060 is 4.

GCF(74052,74060) = 4

We will now calculate the prime factors of 74052 and 74060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74052 and 74060.

How to find the GCF of 74052 and 74060?

We will first find the prime factorization of 74052 and 74060. After we will calculate the factors of 74052 and 74060 and find the biggest common factor number .

Step-1: Prime Factorization of 74052

Prime factors of 74052 are 2, 3, 11, 17. Prime factorization of 74052 in exponential form is:

74052 = 2² × 3² × 11² × 17¹

Step-2: Prime Factorization of 74060

Prime factors of 74060 are 2, 5, 7, 23. Prime factorization of 74060 in exponential form is:

74060 = 2² × 5¹ × 7¹ × 23²

Step-3: Factors of 74052

List of positive integer factors of 74052 that divides 74052 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 121, 132, 153, 187, 198, 204, 242, 306, 363, 374, 396, 484, 561, 612, 726, 748, 1089, 1122, 1452, 1683, 2057, 2178, 2244, 3366, 4114, 4356, 6171, 6732, 8228, 12342, 18513, 24684, 37026

Step-4: Factors of 74060

List of positive integer factors of 74060 that divides 74052 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 35, 46, 70, 92, 115, 140, 161, 230, 322, 460, 529, 644, 805, 1058, 1610, 2116, 2645, 3220, 3703, 5290, 7406, 10580, 14812, 18515, 37030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74052 and 74060. The biggest common factor number is the GCF number.
So the greatest common factor 74052 and 74060 is 4.

Also check out the Least Common Multiple of 74052 and 74060