What is the Greatest Common Factor of 76059 and 76066?

Greatest common factor (GCF) of 76059 and 76066 is 1.

GCF(76059,76066) = 1

We will now calculate the prime factors of 76059 and 76066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76059 and 76066.

How to find the GCF of 76059 and 76066?

We will first find the prime factorization of 76059 and 76066. After we will calculate the factors of 76059 and 76066 and find the biggest common factor number .

Step-1: Prime Factorization of 76059

Prime factors of 76059 are 3, 313. Prime factorization of 76059 in exponential form is:

76059 = 3⁵ × 313¹

Step-2: Prime Factorization of 76066

Prime factors of 76066 are 2, 73, 521. Prime factorization of 76066 in exponential form is:

76066 = 2¹ × 73¹ × 521¹

Step-3: Factors of 76059

List of positive integer factors of 76059 that divides 76059 without a remainder.

1, 3, 9, 27, 81, 243, 313, 939, 2817, 8451, 25353

Step-4: Factors of 76066

List of positive integer factors of 76066 that divides 76059 without a remainder.

1, 2, 73, 146, 521, 1042, 38033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76059 and 76066. The biggest common factor number is the GCF number.
So the greatest common factor 76059 and 76066 is 1.

Also check out the Least Common Multiple of 76059 and 76066