What is the Greatest Common Factor of 42796 and 42809?

Greatest common factor (GCF) of 42796 and 42809 is 13.

GCF(42796,42809) = 13

We will now calculate the prime factors of 42796 and 42809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42796 and 42809.

How to find the GCF of 42796 and 42809?

We will first find the prime factorization of 42796 and 42809. After we will calculate the factors of 42796 and 42809 and find the biggest common factor number .

Step-1: Prime Factorization of 42796

Prime factors of 42796 are 2, 13, 823. Prime factorization of 42796 in exponential form is:

42796 = 2² × 13¹ × 823¹

Step-2: Prime Factorization of 42809

Prime factors of 42809 are 13, 37, 89. Prime factorization of 42809 in exponential form is:

42809 = 13¹ × 37¹ × 89¹

Step-3: Factors of 42796

List of positive integer factors of 42796 that divides 42796 without a remainder.

1, 2, 4, 13, 26, 52, 823, 1646, 3292, 10699, 21398

Step-4: Factors of 42809

List of positive integer factors of 42809 that divides 42796 without a remainder.

1, 13, 37, 89, 481, 1157, 3293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42796 and 42809. The biggest common factor number is the GCF number.
So the greatest common factor 42796 and 42809 is 13.

Also check out the Least Common Multiple of 42796 and 42809