What is the Greatest Common Factor of 76100 and 76105?

Greatest common factor (GCF) of 76100 and 76105 is 5.

GCF(76100,76105) = 5

We will now calculate the prime factors of 76100 and 76105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76100 and 76105.

How to find the GCF of 76100 and 76105?

We will first find the prime factorization of 76100 and 76105. After we will calculate the factors of 76100 and 76105 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 76105

Prime factors of 76105 are 5, 31, 491. Prime factorization of 76105 in exponential form is:

76105 = 5¹ × 31¹ × 491¹

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 76105

List of positive integer factors of 76105 that divides 76100 without a remainder.

1, 5, 31, 155, 491, 2455, 15221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76100 and 76105. The biggest common factor number is the GCF number.
So the greatest common factor 76100 and 76105 is 5.

Also check out the Least Common Multiple of 76100 and 76105