What is the Greatest Common Factor of 75082 and 75088?

Greatest common factor (GCF) of 75082 and 75088 is 2.

GCF(75082,75088) = 2

We will now calculate the prime factors of 75082 and 75088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75082 and 75088.

How to find the GCF of 75082 and 75088?

We will first find the prime factorization of 75082 and 75088. After we will calculate the factors of 75082 and 75088 and find the biggest common factor number .

Step-1: Prime Factorization of 75082

Prime factors of 75082 are 2, 7, 31, 173. Prime factorization of 75082 in exponential form is:

75082 = 2¹ × 7¹ × 31¹ × 173¹

Step-2: Prime Factorization of 75088

Prime factors of 75088 are 2, 13, 19. Prime factorization of 75088 in exponential form is:

75088 = 2⁴ × 13¹ × 19²

Step-3: Factors of 75082

List of positive integer factors of 75082 that divides 75082 without a remainder.

1, 2, 7, 14, 31, 62, 173, 217, 346, 434, 1211, 2422, 5363, 10726, 37541

Step-4: Factors of 75088

List of positive integer factors of 75088 that divides 75082 without a remainder.

1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 361, 494, 722, 988, 1444, 1976, 2888, 3952, 4693, 5776, 9386, 18772, 37544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75082 and 75088. The biggest common factor number is the GCF number.
So the greatest common factor 75082 and 75088 is 2.

Also check out the Least Common Multiple of 75082 and 75088