What is the Greatest Common Factor of 74088 and 74102?

Greatest common factor (GCF) of 74088 and 74102 is 14.

GCF(74088,74102) = 14

We will now calculate the prime factors of 74088 and 74102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74088 and 74102.

How to find the GCF of 74088 and 74102?

We will first find the prime factorization of 74088 and 74102. After we will calculate the factors of 74088 and 74102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74102

Prime factors of 74102 are 2, 7, 67, 79. Prime factorization of 74102 in exponential form is:

74102 = 2¹ × 7¹ × 67¹ × 79¹

Step-3: Factors of 74088

List of positive integer factors of 74088 that divides 74088 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

Step-4: Factors of 74102

List of positive integer factors of 74102 that divides 74088 without a remainder.

1, 2, 7, 14, 67, 79, 134, 158, 469, 553, 938, 1106, 5293, 10586, 37051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74088 and 74102. The biggest common factor number is the GCF number.
So the greatest common factor 74088 and 74102 is 14.

Also check out the Least Common Multiple of 74088 and 74102