What is the Greatest Common Factor of 76100 and 76120?

Greatest common factor (GCF) of 76100 and 76120 is 20.

GCF(76100,76120) = 20

We will now calculate the prime factors of 76100 and 76120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76100 and 76120.

How to find the GCF of 76100 and 76120?

We will first find the prime factorization of 76100 and 76120. After we will calculate the factors of 76100 and 76120 and find the biggest common factor number .

Step-1: Prime Factorization of 76100

Prime factors of 76100 are 2, 5, 761. Prime factorization of 76100 in exponential form is:

76100 = 2² × 5² × 761¹

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 76100

List of positive integer factors of 76100 that divides 76100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 761, 1522, 3044, 3805, 7610, 15220, 19025, 38050

Step-4: Factors of 76120

List of positive integer factors of 76120 that divides 76100 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 76100 and 76120. The biggest common factor number is the GCF number.
So the greatest common factor 76100 and 76120 is 20.

Also check out the Least Common Multiple of 76100 and 76120