What is the Greatest Common Factor of 76065 and 76075?

Greatest common factor (GCF) of 76065 and 76075 is 5.

GCF(76065,76075) = 5

We will now calculate the prime factors of 76065 and 76075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76065 and 76075.

How to find the GCF of 76065 and 76075?

We will first find the prime factorization of 76065 and 76075. After we will calculate the factors of 76065 and 76075 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76075

Prime factors of 76075 are 5, 17, 179. Prime factorization of 76075 in exponential form is:

76075 = 5² × 17¹ × 179¹

Step-3: Factors of 76065

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

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

Step-4: Factors of 76075

List of positive integer factors of 76075 that divides 76065 without a remainder.

1, 5, 17, 25, 85, 179, 425, 895, 3043, 4475, 15215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76065 and 76075. The biggest common factor number is the GCF number.
So the greatest common factor 76065 and 76075 is 5.

Also check out the Least Common Multiple of 76065 and 76075