What is the Greatest Common Factor of 76109 and 76119?

Greatest common factor (GCF) of 76109 and 76119 is 1.

GCF(76109,76119) = 1

We will now calculate the prime factors of 76109 and 76119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76109 and 76119.

How to find the GCF of 76109 and 76119?

We will first find the prime factorization of 76109 and 76119. After we will calculate the factors of 76109 and 76119 and find the biggest common factor number .

Step-1: Prime Factorization of 76109

Prime factors of 76109 are 11, 17, 37. Prime factorization of 76109 in exponential form is:

76109 = 11² × 17¹ × 37¹

Step-2: Prime Factorization of 76119

Prime factors of 76119 are 3, 25373. Prime factorization of 76119 in exponential form is:

76119 = 3¹ × 25373¹

Step-3: Factors of 76109

List of positive integer factors of 76109 that divides 76109 without a remainder.

1, 11, 17, 37, 121, 187, 407, 629, 2057, 4477, 6919

Step-4: Factors of 76119

List of positive integer factors of 76119 that divides 76109 without a remainder.

1, 3, 25373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76109 and 76119. The biggest common factor number is the GCF number.
So the greatest common factor 76109 and 76119 is 1.

Also check out the Least Common Multiple of 76109 and 76119