What is the Greatest Common Factor of 74684 and 74698?

Greatest common factor (GCF) of 74684 and 74698 is 2.

GCF(74684,74698) = 2

We will now calculate the prime factors of 74684 and 74698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74684 and 74698.

How to find the GCF of 74684 and 74698?

We will first find the prime factorization of 74684 and 74698. After we will calculate the factors of 74684 and 74698 and find the biggest common factor number .

Step-1: Prime Factorization of 74684

Prime factors of 74684 are 2, 18671. Prime factorization of 74684 in exponential form is:

74684 = 2² × 18671¹

Step-2: Prime Factorization of 74698

Prime factors of 74698 are 2, 13, 17. Prime factorization of 74698 in exponential form is:

74698 = 2¹ × 13³ × 17¹

Step-3: Factors of 74684

List of positive integer factors of 74684 that divides 74684 without a remainder.

1, 2, 4, 18671, 37342

Step-4: Factors of 74698

List of positive integer factors of 74698 that divides 74684 without a remainder.

1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2197, 2873, 4394, 5746, 37349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74684 and 74698. The biggest common factor number is the GCF number.
So the greatest common factor 74684 and 74698 is 2.

Also check out the Least Common Multiple of 74684 and 74698