What is the Greatest Common Factor of 75069 and 75088?

Greatest common factor (GCF) of 75069 and 75088 is 19.

GCF(75069,75088) = 19

We will now calculate the prime factors of 75069 and 75088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75069 and 75088.

How to find the GCF of 75069 and 75088?

We will first find the prime factorization of 75069 and 75088. After we will calculate the factors of 75069 and 75088 and find the biggest common factor number .

Step-1: Prime Factorization of 75069

Prime factors of 75069 are 3, 19, 439. Prime factorization of 75069 in exponential form is:

75069 = 3² × 19¹ × 439¹

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 75069

List of positive integer factors of 75069 that divides 75069 without a remainder.

1, 3, 9, 19, 57, 171, 439, 1317, 3951, 8341, 25023

Step-4: Factors of 75088

List of positive integer factors of 75088 that divides 75069 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 75069 and 75088. The biggest common factor number is the GCF number.
So the greatest common factor 75069 and 75088 is 19.

Also check out the Least Common Multiple of 75069 and 75088