What is the Greatest Common Factor of 60814 and 60822?

Greatest common factor (GCF) of 60814 and 60822 is 2.

GCF(60814,60822) = 2

We will now calculate the prime factors of 60814 and 60822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60814 and 60822.

How to find the GCF of 60814 and 60822?

We will first find the prime factorization of 60814 and 60822. After we will calculate the factors of 60814 and 60822 and find the biggest common factor number .

Step-1: Prime Factorization of 60814

Prime factors of 60814 are 2, 13, 2339. Prime factorization of 60814 in exponential form is:

60814 = 2¹ × 13¹ × 2339¹

Step-2: Prime Factorization of 60822

Prime factors of 60822 are 2, 3, 31, 109. Prime factorization of 60822 in exponential form is:

60822 = 2¹ × 3² × 31¹ × 109¹

Step-3: Factors of 60814

List of positive integer factors of 60814 that divides 60814 without a remainder.

1, 2, 13, 26, 2339, 4678, 30407

Step-4: Factors of 60822

List of positive integer factors of 60822 that divides 60814 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 109, 186, 218, 279, 327, 558, 654, 981, 1962, 3379, 6758, 10137, 20274, 30411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60814 and 60822. The biggest common factor number is the GCF number.
So the greatest common factor 60814 and 60822 is 2.

Also check out the Least Common Multiple of 60814 and 60822