What is the Greatest Common Factor of 74698 and 74715?

Greatest common factor (GCF) of 74698 and 74715 is 17.

GCF(74698,74715) = 17

We will now calculate the prime factors of 74698 and 74715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74698 and 74715.

How to find the GCF of 74698 and 74715?

We will first find the prime factorization of 74698 and 74715. After we will calculate the factors of 74698 and 74715 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74715

Prime factors of 74715 are 3, 5, 17, 293. Prime factorization of 74715 in exponential form is:

74715 = 3¹ × 5¹ × 17¹ × 293¹

Step-3: Factors of 74698

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

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

Step-4: Factors of 74715

List of positive integer factors of 74715 that divides 74698 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 293, 879, 1465, 4395, 4981, 14943, 24905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74698 and 74715. The biggest common factor number is the GCF number.
So the greatest common factor 74698 and 74715 is 17.

Also check out the Least Common Multiple of 74698 and 74715