What is the Greatest Common Factor of 74655 and 74661?

Greatest common factor (GCF) of 74655 and 74661 is 3.

GCF(74655,74661) = 3

We will now calculate the prime factors of 74655 and 74661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74655 and 74661.

How to find the GCF of 74655 and 74661?

We will first find the prime factorization of 74655 and 74661. After we will calculate the factors of 74655 and 74661 and find the biggest common factor number .

Step-1: Prime Factorization of 74655

Prime factors of 74655 are 3, 5, 7, 79. Prime factorization of 74655 in exponential form is:

74655 = 3³ × 5¹ × 7¹ × 79¹

Step-2: Prime Factorization of 74661

Prime factors of 74661 are 3, 41, 607. Prime factorization of 74661 in exponential form is:

74661 = 3¹ × 41¹ × 607¹

Step-3: Factors of 74655

List of positive integer factors of 74655 that divides 74655 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 79, 105, 135, 189, 237, 315, 395, 553, 711, 945, 1185, 1659, 2133, 2765, 3555, 4977, 8295, 10665, 14931, 24885

Step-4: Factors of 74661

List of positive integer factors of 74661 that divides 74655 without a remainder.

1, 3, 41, 123, 607, 1821, 24887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74655 and 74661. The biggest common factor number is the GCF number.
So the greatest common factor 74655 and 74661 is 3.

Also check out the Least Common Multiple of 74655 and 74661