What is the Greatest Common Factor of 42809 and 42822?

Greatest common factor (GCF) of 42809 and 42822 is 13.

GCF(42809,42822) = 13

We will now calculate the prime factors of 42809 and 42822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42809 and 42822.

How to find the GCF of 42809 and 42822?

We will first find the prime factorization of 42809 and 42822. After we will calculate the factors of 42809 and 42822 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42822

Prime factors of 42822 are 2, 3, 13, 61. Prime factorization of 42822 in exponential form is:

42822 = 2¹ × 3³ × 13¹ × 61¹

Step-3: Factors of 42809

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

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

Step-4: Factors of 42822

List of positive integer factors of 42822 that divides 42809 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 61, 78, 117, 122, 183, 234, 351, 366, 549, 702, 793, 1098, 1586, 1647, 2379, 3294, 4758, 7137, 14274, 21411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42809 and 42822. The biggest common factor number is the GCF number.
So the greatest common factor 42809 and 42822 is 13.

Also check out the Least Common Multiple of 42809 and 42822