What is the Greatest Common Factor of 76900 and 76906?

Greatest common factor (GCF) of 76900 and 76906 is 2.

GCF(76900,76906) = 2

We will now calculate the prime factors of 76900 and 76906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76900 and 76906.

How to find the GCF of 76900 and 76906?

We will first find the prime factorization of 76900 and 76906. After we will calculate the factors of 76900 and 76906 and find the biggest common factor number .

Step-1: Prime Factorization of 76900

Prime factors of 76900 are 2, 5, 769. Prime factorization of 76900 in exponential form is:

76900 = 2² × 5² × 769¹

Step-2: Prime Factorization of 76906

Prime factors of 76906 are 2, 38453. Prime factorization of 76906 in exponential form is:

76906 = 2¹ × 38453¹

Step-3: Factors of 76900

List of positive integer factors of 76900 that divides 76900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 769, 1538, 3076, 3845, 7690, 15380, 19225, 38450

Step-4: Factors of 76906

List of positive integer factors of 76906 that divides 76900 without a remainder.

1, 2, 38453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76900 and 76906. The biggest common factor number is the GCF number.
So the greatest common factor 76900 and 76906 is 2.

Also check out the Least Common Multiple of 76900 and 76906