What is the Greatest Common Factor of 60822 and 60837?

Greatest common factor (GCF) of 60822 and 60837 is 3.

GCF(60822,60837) = 3

We will now calculate the prime factors of 60822 and 60837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60822 and 60837.

How to find the GCF of 60822 and 60837?

We will first find the prime factorization of 60822 and 60837. After we will calculate the factors of 60822 and 60837 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60837

Prime factors of 60837 are 3, 7, 2897. Prime factorization of 60837 in exponential form is:

60837 = 3¹ × 7¹ × 2897¹

Step-3: Factors of 60822

List of positive integer factors of 60822 that divides 60822 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

Step-4: Factors of 60837

List of positive integer factors of 60837 that divides 60822 without a remainder.

1, 3, 7, 21, 2897, 8691, 20279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60822 and 60837. The biggest common factor number is the GCF number.
So the greatest common factor 60822 and 60837 is 3.

Also check out the Least Common Multiple of 60822 and 60837