What is the Greatest Common Factor of 76095 and 76104?

Greatest common factor (GCF) of 76095 and 76104 is 9.

GCF(76095,76104) = 9

We will now calculate the prime factors of 76095 and 76104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76095 and 76104.

How to find the GCF of 76095 and 76104?

We will first find the prime factorization of 76095 and 76104. After we will calculate the factors of 76095 and 76104 and find the biggest common factor number .

Step-1: Prime Factorization of 76095

Prime factors of 76095 are 3, 5, 19, 89. Prime factorization of 76095 in exponential form is:

76095 = 3² × 5¹ × 19¹ × 89¹

Step-2: Prime Factorization of 76104

Prime factors of 76104 are 2, 3, 7, 151. Prime factorization of 76104 in exponential form is:

76104 = 2³ × 3² × 7¹ × 151¹

Step-3: Factors of 76095

List of positive integer factors of 76095 that divides 76095 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 89, 95, 171, 267, 285, 445, 801, 855, 1335, 1691, 4005, 5073, 8455, 15219, 25365

Step-4: Factors of 76104

List of positive integer factors of 76104 that divides 76095 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 151, 168, 252, 302, 453, 504, 604, 906, 1057, 1208, 1359, 1812, 2114, 2718, 3171, 3624, 4228, 5436, 6342, 8456, 9513, 10872, 12684, 19026, 25368, 38052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76095 and 76104. The biggest common factor number is the GCF number.
So the greatest common factor 76095 and 76104 is 9.

Also check out the Least Common Multiple of 76095 and 76104