What is the Greatest Common Factor of 60684 and 60698?

Greatest common factor (GCF) of 60684 and 60698 is 2.

GCF(60684,60698) = 2

We will now calculate the prime factors of 60684 and 60698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60684 and 60698.

How to find the GCF of 60684 and 60698?

We will first find the prime factorization of 60684 and 60698. After we will calculate the factors of 60684 and 60698 and find the biggest common factor number .

Step-1: Prime Factorization of 60684

Prime factors of 60684 are 2, 3, 13, 389. Prime factorization of 60684 in exponential form is:

60684 = 2² × 3¹ × 13¹ × 389¹

Step-2: Prime Factorization of 60698

Prime factors of 60698 are 2, 11, 31, 89. Prime factorization of 60698 in exponential form is:

60698 = 2¹ × 11¹ × 31¹ × 89¹

Step-3: Factors of 60684

List of positive integer factors of 60684 that divides 60684 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 389, 778, 1167, 1556, 2334, 4668, 5057, 10114, 15171, 20228, 30342

Step-4: Factors of 60698

List of positive integer factors of 60698 that divides 60684 without a remainder.

1, 2, 11, 22, 31, 62, 89, 178, 341, 682, 979, 1958, 2759, 5518, 30349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60684 and 60698. The biggest common factor number is the GCF number.
So the greatest common factor 60684 and 60698 is 2.

Also check out the Least Common Multiple of 60684 and 60698