What is the Greatest Common Factor of 76109 and 76124?

Greatest common factor (GCF) of 76109 and 76124 is 1.

GCF(76109,76124) = 1

We will now calculate the prime factors of 76109 and 76124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76109 and 76124.

How to find the GCF of 76109 and 76124?

We will first find the prime factorization of 76109 and 76124. After we will calculate the factors of 76109 and 76124 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 76124

Prime factors of 76124 are 2, 19031. Prime factorization of 76124 in exponential form is:

76124 = 2² × 19031¹

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 76124

List of positive integer factors of 76124 that divides 76109 without a remainder.

1, 2, 4, 19031, 38062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76109 and 76124. The biggest common factor number is the GCF number.
So the greatest common factor 76109 and 76124 is 1.

Also check out the Least Common Multiple of 76109 and 76124