What is the Greatest Common Factor of 32074 and 32088?

Greatest common factor (GCF) of 32074 and 32088 is 14.

GCF(32074,32088) = 14

We will now calculate the prime factors of 32074 and 32088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32074 and 32088.

How to find the GCF of 32074 and 32088?

We will first find the prime factorization of 32074 and 32088. After we will calculate the factors of 32074 and 32088 and find the biggest common factor number .

Step-1: Prime Factorization of 32074

Prime factors of 32074 are 2, 7, 29, 79. Prime factorization of 32074 in exponential form is:

32074 = 2¹ × 7¹ × 29¹ × 79¹

Step-2: Prime Factorization of 32088

Prime factors of 32088 are 2, 3, 7, 191. Prime factorization of 32088 in exponential form is:

32088 = 2³ × 3¹ × 7¹ × 191¹

Step-3: Factors of 32074

List of positive integer factors of 32074 that divides 32074 without a remainder.

1, 2, 7, 14, 29, 58, 79, 158, 203, 406, 553, 1106, 2291, 4582, 16037

Step-4: Factors of 32088

List of positive integer factors of 32088 that divides 32074 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 191, 382, 573, 764, 1146, 1337, 1528, 2292, 2674, 4011, 4584, 5348, 8022, 10696, 16044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32074 and 32088. The biggest common factor number is the GCF number.
So the greatest common factor 32074 and 32088 is 14.

Also check out the Least Common Multiple of 32074 and 32088