What is the Greatest Common Factor of 74074 and 74088?

Greatest common factor (GCF) of 74074 and 74088 is 14.

GCF(74074,74088) = 14

We will now calculate the prime factors of 74074 and 74088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74074 and 74088.

How to find the GCF of 74074 and 74088?

We will first find the prime factorization of 74074 and 74088. After we will calculate the factors of 74074 and 74088 and find the biggest common factor number .

Step-1: Prime Factorization of 74074

Prime factors of 74074 are 2, 7, 11, 13, 37. Prime factorization of 74074 in exponential form is:

74074 = 2¹ × 7¹ × 11¹ × 13¹ × 37¹

Step-2: Prime Factorization of 74088

Prime factors of 74088 are 2, 3, 7. Prime factorization of 74088 in exponential form is:

74088 = 2³ × 3³ × 7³

Step-3: Factors of 74074

List of positive integer factors of 74074 that divides 74074 without a remainder.

1, 2, 7, 11, 13, 14, 22, 26, 37, 74, 77, 91, 143, 154, 182, 259, 286, 407, 481, 518, 814, 962, 1001, 2002, 2849, 3367, 5291, 5698, 6734, 10582, 37037

Step-4: Factors of 74088

List of positive integer factors of 74088 that divides 74074 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 49, 54, 56, 63, 72, 84, 98, 108, 126, 147, 168, 189, 196, 216, 252, 294, 343, 378, 392, 441, 504, 588, 686, 756, 882, 1029, 1176, 1323, 1372, 1512, 1764, 2058, 2646, 2744, 3087, 3528, 4116, 5292, 6174, 8232, 9261, 10584, 12348, 18522, 24696, 37044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74074 and 74088. The biggest common factor number is the GCF number.
So the greatest common factor 74074 and 74088 is 14.

Also check out the Least Common Multiple of 74074 and 74088