What is the Greatest Common Factor of 76100 and 76110?

Greatest common factor (GCF) of 76100 and 76110 is 10.

GCF(76100,76110) = 10

We will now calculate the prime factors of 76100 and 76110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76100 and 76110.

How to find the GCF of 76100 and 76110?

We will first find the prime factorization of 76100 and 76110. After we will calculate the factors of 76100 and 76110 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 76110

Prime factors of 76110 are 2, 3, 5, 43, 59. Prime factorization of 76110 in exponential form is:

76110 = 2¹ × 3¹ × 5¹ × 43¹ × 59¹

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 76110

List of positive integer factors of 76110 that divides 76100 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 59, 86, 118, 129, 177, 215, 258, 295, 354, 430, 590, 645, 885, 1290, 1770, 2537, 5074, 7611, 12685, 15222, 25370, 38055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76100 and 76110. The biggest common factor number is the GCF number.
So the greatest common factor 76100 and 76110 is 10.

Also check out the Least Common Multiple of 76100 and 76110