What is the Greatest Common Factor of 76935 and 76955?

Greatest common factor (GCF) of 76935 and 76955 is 5.

GCF(76935,76955) = 5

We will now calculate the prime factors of 76935 and 76955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76935 and 76955.

How to find the GCF of 76935 and 76955?

We will first find the prime factorization of 76935 and 76955. After we will calculate the factors of 76935 and 76955 and find the biggest common factor number .

Step-1: Prime Factorization of 76935

Prime factors of 76935 are 3, 5, 23, 223. Prime factorization of 76935 in exponential form is:

76935 = 3¹ × 5¹ × 23¹ × 223¹

Step-2: Prime Factorization of 76955

Prime factors of 76955 are 5, 15391. Prime factorization of 76955 in exponential form is:

76955 = 5¹ × 15391¹

Step-3: Factors of 76935

List of positive integer factors of 76935 that divides 76935 without a remainder.

1, 3, 5, 15, 23, 69, 115, 223, 345, 669, 1115, 3345, 5129, 15387, 25645

Step-4: Factors of 76955

List of positive integer factors of 76955 that divides 76935 without a remainder.

1, 5, 15391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76935 and 76955. The biggest common factor number is the GCF number.
So the greatest common factor 76935 and 76955 is 5.

Also check out the Least Common Multiple of 76935 and 76955