What is the Greatest Common Factor of 76109 and 76120?

Greatest common factor (GCF) of 76109 and 76120 is 11.

GCF(76109,76120) = 11

We will now calculate the prime factors of 76109 and 76120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76109 and 76120.

How to find the GCF of 76109 and 76120?

We will first find the prime factorization of 76109 and 76120. After we will calculate the factors of 76109 and 76120 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 76120

Prime factors of 76120 are 2, 5, 11, 173. Prime factorization of 76120 in exponential form is:

76120 = 2³ × 5¹ × 11¹ × 173¹

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 76120

List of positive integer factors of 76120 that divides 76109 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 173, 220, 346, 440, 692, 865, 1384, 1730, 1903, 3460, 3806, 6920, 7612, 9515, 15224, 19030, 38060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76109 and 76120. The biggest common factor number is the GCF number.
So the greatest common factor 76109 and 76120 is 11.

Also check out the Least Common Multiple of 76109 and 76120