What is the Greatest Common Factor of 76047 and 76065?

Greatest common factor (GCF) of 76047 and 76065 is 3.

GCF(76047,76065) = 3

We will now calculate the prime factors of 76047 and 76065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76047 and 76065.

How to find the GCF of 76047 and 76065?

We will first find the prime factorization of 76047 and 76065. After we will calculate the factors of 76047 and 76065 and find the biggest common factor number .

Step-1: Prime Factorization of 76047

Prime factors of 76047 are 3, 25349. Prime factorization of 76047 in exponential form is:

76047 = 3¹ × 25349¹

Step-2: Prime Factorization of 76065

Prime factors of 76065 are 3, 5, 11, 461. Prime factorization of 76065 in exponential form is:

76065 = 3¹ × 5¹ × 11¹ × 461¹

Step-3: Factors of 76047

List of positive integer factors of 76047 that divides 76047 without a remainder.

1, 3, 25349

Step-4: Factors of 76065

List of positive integer factors of 76065 that divides 76047 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 461, 1383, 2305, 5071, 6915, 15213, 25355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76047 and 76065. The biggest common factor number is the GCF number.
So the greatest common factor 76047 and 76065 is 3.

Also check out the Least Common Multiple of 76047 and 76065