What is the Greatest Common Factor of 76846 and 76853?

Greatest common factor (GCF) of 76846 and 76853 is 7.

GCF(76846,76853) = 7

We will now calculate the prime factors of 76846 and 76853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76846 and 76853.

How to find the GCF of 76846 and 76853?

We will first find the prime factorization of 76846 and 76853. After we will calculate the factors of 76846 and 76853 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76853

Prime factors of 76853 are 7, 10979. Prime factorization of 76853 in exponential form is:

76853 = 7¹ × 10979¹

Step-3: Factors of 76846

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

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

Step-4: Factors of 76853

List of positive integer factors of 76853 that divides 76846 without a remainder.

1, 7, 10979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76846 and 76853. The biggest common factor number is the GCF number.
So the greatest common factor 76846 and 76853 is 7.

Also check out the Least Common Multiple of 76846 and 76853