What is the Greatest Common Factor of 76645 and 76665?

Greatest common factor (GCF) of 76645 and 76665 is 5.

GCF(76645,76665) = 5

We will now calculate the prime factors of 76645 and 76665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76645 and 76665.

How to find the GCF of 76645 and 76665?

We will first find the prime factorization of 76645 and 76665. After we will calculate the factors of 76645 and 76665 and find the biggest common factor number .

Step-1: Prime Factorization of 76645

Prime factors of 76645 are 5, 15329. Prime factorization of 76645 in exponential form is:

76645 = 5¹ × 15329¹

Step-2: Prime Factorization of 76665

Prime factors of 76665 are 3, 5, 19, 269. Prime factorization of 76665 in exponential form is:

76665 = 3¹ × 5¹ × 19¹ × 269¹

Step-3: Factors of 76645

List of positive integer factors of 76645 that divides 76645 without a remainder.

1, 5, 15329

Step-4: Factors of 76665

List of positive integer factors of 76665 that divides 76645 without a remainder.

1, 3, 5, 15, 19, 57, 95, 269, 285, 807, 1345, 4035, 5111, 15333, 25555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76645 and 76665. The biggest common factor number is the GCF number.
So the greatest common factor 76645 and 76665 is 5.

Also check out the Least Common Multiple of 76645 and 76665