What is the Greatest Common Factor of 76835 and 76846?

Greatest common factor (GCF) of 76835 and 76846 is 11.

GCF(76835,76846) = 11

We will now calculate the prime factors of 76835 and 76846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76835 and 76846.

How to find the GCF of 76835 and 76846?

We will first find the prime factorization of 76835 and 76846. After we will calculate the factors of 76835 and 76846 and find the biggest common factor number .

Step-1: Prime Factorization of 76835

Prime factors of 76835 are 5, 11, 127. Prime factorization of 76835 in exponential form is:

76835 = 5¹ × 11² × 127¹

Step-2: Prime Factorization of 76846

Prime factors of 76846 are 2, 7, 11, 499. Prime factorization of 76846 in exponential form is:

76846 = 2¹ × 7¹ × 11¹ × 499¹

Step-3: Factors of 76835

List of positive integer factors of 76835 that divides 76835 without a remainder.

1, 5, 11, 55, 121, 127, 605, 635, 1397, 6985, 15367

Step-4: Factors of 76846

List of positive integer factors of 76846 that divides 76835 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 499, 998, 3493, 5489, 6986, 10978, 38423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76835 and 76846. The biggest common factor number is the GCF number.
So the greatest common factor 76835 and 76846 is 11.

Also check out the Least Common Multiple of 76835 and 76846