What is the Greatest Common Factor of 76120 and 76130?

Greatest common factor (GCF) of 76120 and 76130 is 10.

GCF(76120,76130) = 10

We will now calculate the prime factors of 76120 and 76130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76120 and 76130.

How to find the GCF of 76120 and 76130?

We will first find the prime factorization of 76120 and 76130. After we will calculate the factors of 76120 and 76130 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76130

Prime factors of 76130 are 2, 5, 23, 331. Prime factorization of 76130 in exponential form is:

76130 = 2¹ × 5¹ × 23¹ × 331¹

Step-3: Factors of 76120

List of positive integer factors of 76120 that divides 76120 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

Step-4: Factors of 76130

List of positive integer factors of 76130 that divides 76120 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 331, 662, 1655, 3310, 7613, 15226, 38065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76120 and 76130. The biggest common factor number is the GCF number.
So the greatest common factor 76120 and 76130 is 10.

Also check out the Least Common Multiple of 76120 and 76130