What is the Greatest Common Factor of 74685 and 74698?

Greatest common factor (GCF) of 74685 and 74698 is 13.

GCF(74685,74698) = 13

We will now calculate the prime factors of 74685 and 74698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74685 and 74698.

How to find the GCF of 74685 and 74698?

We will first find the prime factorization of 74685 and 74698. After we will calculate the factors of 74685 and 74698 and find the biggest common factor number .

Step-1: Prime Factorization of 74685

Prime factors of 74685 are 3, 5, 13, 383. Prime factorization of 74685 in exponential form is:

74685 = 3¹ × 5¹ × 13¹ × 383¹

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 74685

List of positive integer factors of 74685 that divides 74685 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 383, 1149, 1915, 4979, 5745, 14937, 24895

Step-4: Factors of 74698

List of positive integer factors of 74698 that divides 74685 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 74685 and 74698. The biggest common factor number is the GCF number.
So the greatest common factor 74685 and 74698 is 13.

Also check out the Least Common Multiple of 74685 and 74698