What is the Greatest Common Factor of 74081 and 74088?

Greatest common factor (GCF) of 74081 and 74088 is 7.

GCF(74081,74088) = 7

We will now calculate the prime factors of 74081 and 74088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74081 and 74088.

How to find the GCF of 74081 and 74088?

We will first find the prime factorization of 74081 and 74088. After we will calculate the factors of 74081 and 74088 and find the biggest common factor number .

Step-1: Prime Factorization of 74081

Prime factors of 74081 are 7, 19, 557. Prime factorization of 74081 in exponential form is:

74081 = 7¹ × 19¹ × 557¹

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 74081

List of positive integer factors of 74081 that divides 74081 without a remainder.

1, 7, 19, 133, 557, 3899, 10583

Step-4: Factors of 74088

List of positive integer factors of 74088 that divides 74081 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 74081 and 74088. The biggest common factor number is the GCF number.
So the greatest common factor 74081 and 74088 is 7.

Also check out the Least Common Multiple of 74081 and 74088