What is the Greatest Common Factor of 76045 and 76065?

Greatest common factor (GCF) of 76045 and 76065 is 5.

GCF(76045,76065) = 5

We will now calculate the prime factors of 76045 and 76065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76045 and 76065.

How to find the GCF of 76045 and 76065?

We will first find the prime factorization of 76045 and 76065. After we will calculate the factors of 76045 and 76065 and find the biggest common factor number .

Step-1: Prime Factorization of 76045

Prime factors of 76045 are 5, 67, 227. Prime factorization of 76045 in exponential form is:

76045 = 5¹ × 67¹ × 227¹

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 76045

List of positive integer factors of 76045 that divides 76045 without a remainder.

1, 5, 67, 227, 335, 1135, 15209

Step-4: Factors of 76065

List of positive integer factors of 76065 that divides 76045 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 76045 and 76065. The biggest common factor number is the GCF number.
So the greatest common factor 76045 and 76065 is 5.

Also check out the Least Common Multiple of 76045 and 76065