What is the Greatest Common Factor of 75096 and 75109?

Greatest common factor (GCF) of 75096 and 75109 is 1.

GCF(75096,75109) = 1

We will now calculate the prime factors of 75096 and 75109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75096 and 75109.

How to find the GCF of 75096 and 75109?

We will first find the prime factorization of 75096 and 75109. After we will calculate the factors of 75096 and 75109 and find the biggest common factor number .

Step-1: Prime Factorization of 75096

Prime factors of 75096 are 2, 3, 7, 149. Prime factorization of 75096 in exponential form is:

75096 = 2³ × 3² × 7¹ × 149¹

Step-2: Prime Factorization of 75109

Prime factors of 75109 are 75109. Prime factorization of 75109 in exponential form is:

75109 = 75109¹

Step-3: Factors of 75096

List of positive integer factors of 75096 that divides 75096 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 149, 168, 252, 298, 447, 504, 596, 894, 1043, 1192, 1341, 1788, 2086, 2682, 3129, 3576, 4172, 5364, 6258, 8344, 9387, 10728, 12516, 18774, 25032, 37548

Step-4: Factors of 75109

List of positive integer factors of 75109 that divides 75096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75096 and 75109. The biggest common factor number is the GCF number.
So the greatest common factor 75096 and 75109 is 1.

Also check out the Least Common Multiple of 75096 and 75109