What is the Greatest Common Factor of 60836 and 60854?

Greatest common factor (GCF) of 60836 and 60854 is 2.

GCF(60836,60854) = 2

We will now calculate the prime factors of 60836 and 60854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60836 and 60854.

How to find the GCF of 60836 and 60854?

We will first find the prime factorization of 60836 and 60854. After we will calculate the factors of 60836 and 60854 and find the biggest common factor number .

Step-1: Prime Factorization of 60836

Prime factors of 60836 are 2, 67, 227. Prime factorization of 60836 in exponential form is:

60836 = 2² × 67¹ × 227¹

Step-2: Prime Factorization of 60854

Prime factors of 60854 are 2, 30427. Prime factorization of 60854 in exponential form is:

60854 = 2¹ × 30427¹

Step-3: Factors of 60836

List of positive integer factors of 60836 that divides 60836 without a remainder.

1, 2, 4, 67, 134, 227, 268, 454, 908, 15209, 30418

Step-4: Factors of 60854

List of positive integer factors of 60854 that divides 60836 without a remainder.

1, 2, 30427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60836 and 60854. The biggest common factor number is the GCF number.
So the greatest common factor 60836 and 60854 is 2.

Also check out the Least Common Multiple of 60836 and 60854