What is the Greatest Common Factor of 75088 and 75101?

Greatest common factor (GCF) of 75088 and 75101 is 13.

GCF(75088,75101) = 13

We will now calculate the prime factors of 75088 and 75101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75088 and 75101.

How to find the GCF of 75088 and 75101?

We will first find the prime factorization of 75088 and 75101. After we will calculate the factors of 75088 and 75101 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75101

Prime factors of 75101 are 13, 53, 109. Prime factorization of 75101 in exponential form is:

75101 = 13¹ × 53¹ × 109¹

Step-3: Factors of 75088

List of positive integer factors of 75088 that divides 75088 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

Step-4: Factors of 75101

List of positive integer factors of 75101 that divides 75088 without a remainder.

1, 13, 53, 109, 689, 1417, 5777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75088 and 75101. The biggest common factor number is the GCF number.
So the greatest common factor 75088 and 75101 is 13.

Also check out the Least Common Multiple of 75088 and 75101