What is the Greatest Common Factor of 75096 and 75103?

Greatest common factor (GCF) of 75096 and 75103 is 7.

GCF(75096,75103) = 7

We will now calculate the prime factors of 75096 and 75103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75096 and 75103.

How to find the GCF of 75096 and 75103?

We will first find the prime factorization of 75096 and 75103. After we will calculate the factors of 75096 and 75103 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 75103

Prime factors of 75103 are 7, 10729. Prime factorization of 75103 in exponential form is:

75103 = 7¹ × 10729¹

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 75103

List of positive integer factors of 75103 that divides 75096 without a remainder.

1, 7, 10729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75096 and 75103. The biggest common factor number is the GCF number.
So the greatest common factor 75096 and 75103 is 7.

Also check out the Least Common Multiple of 75096 and 75103