What is the Greatest Common Factor of 74646 and 74665?

Greatest common factor (GCF) of 74646 and 74665 is 1.

GCF(74646,74665) = 1

We will now calculate the prime factors of 74646 and 74665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74646 and 74665.

How to find the GCF of 74646 and 74665?

We will first find the prime factorization of 74646 and 74665. After we will calculate the factors of 74646 and 74665 and find the biggest common factor number .

Step-1: Prime Factorization of 74646

Prime factors of 74646 are 2, 3, 11, 13, 29. Prime factorization of 74646 in exponential form is:

74646 = 2¹ × 3² × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 74665

Prime factors of 74665 are 5, 109, 137. Prime factorization of 74665 in exponential form is:

74665 = 5¹ × 109¹ × 137¹

Step-3: Factors of 74646

List of positive integer factors of 74646 that divides 74646 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 29, 33, 39, 58, 66, 78, 87, 99, 117, 143, 174, 198, 234, 261, 286, 319, 377, 429, 522, 638, 754, 858, 957, 1131, 1287, 1914, 2262, 2574, 2871, 3393, 4147, 5742, 6786, 8294, 12441, 24882, 37323

Step-4: Factors of 74665

List of positive integer factors of 74665 that divides 74646 without a remainder.

1, 5, 109, 137, 545, 685, 14933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74646 and 74665. The biggest common factor number is the GCF number.
So the greatest common factor 74646 and 74665 is 1.

Also check out the Least Common Multiple of 74646 and 74665