What is the Greatest Common Factor of 76940 and 76954?

Greatest common factor (GCF) of 76940 and 76954 is 2.

GCF(76940,76954) = 2

We will now calculate the prime factors of 76940 and 76954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76940 and 76954.

How to find the GCF of 76940 and 76954?

We will first find the prime factorization of 76940 and 76954. After we will calculate the factors of 76940 and 76954 and find the biggest common factor number .

Step-1: Prime Factorization of 76940

Prime factors of 76940 are 2, 5, 3847. Prime factorization of 76940 in exponential form is:

76940 = 2² × 5¹ × 3847¹

Step-2: Prime Factorization of 76954

Prime factors of 76954 are 2, 109, 353. Prime factorization of 76954 in exponential form is:

76954 = 2¹ × 109¹ × 353¹

Step-3: Factors of 76940

List of positive integer factors of 76940 that divides 76940 without a remainder.

1, 2, 4, 5, 10, 20, 3847, 7694, 15388, 19235, 38470

Step-4: Factors of 76954

List of positive integer factors of 76954 that divides 76940 without a remainder.

1, 2, 109, 218, 353, 706, 38477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76940 and 76954. The biggest common factor number is the GCF number.
So the greatest common factor 76940 and 76954 is 2.

Also check out the Least Common Multiple of 76940 and 76954