What is the Greatest Common Factor of 75096 and 75105?

Greatest common factor (GCF) of 75096 and 75105 is 9.

GCF(75096,75105) = 9

We will now calculate the prime factors of 75096 and 75105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75096 and 75105.

How to find the GCF of 75096 and 75105?

We will first find the prime factorization of 75096 and 75105. After we will calculate the factors of 75096 and 75105 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 75105

Prime factors of 75105 are 3, 5, 1669. Prime factorization of 75105 in exponential form is:

75105 = 3² × 5¹ × 1669¹

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 75105

List of positive integer factors of 75105 that divides 75096 without a remainder.

1, 3, 5, 9, 15, 45, 1669, 5007, 8345, 15021, 25035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75096 and 75105. The biggest common factor number is the GCF number.
So the greatest common factor 75096 and 75105 is 9.

Also check out the Least Common Multiple of 75096 and 75105