What is the Greatest Common Factor of 74650 and 74655?

Greatest common factor (GCF) of 74650 and 74655 is 5.

GCF(74650,74655) = 5

We will now calculate the prime factors of 74650 and 74655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74650 and 74655.

How to find the GCF of 74650 and 74655?

We will first find the prime factorization of 74650 and 74655. After we will calculate the factors of 74650 and 74655 and find the biggest common factor number .

Step-1: Prime Factorization of 74650

Prime factors of 74650 are 2, 5, 1493. Prime factorization of 74650 in exponential form is:

74650 = 2¹ × 5² × 1493¹

Step-2: 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-3: Factors of 74650

List of positive integer factors of 74650 that divides 74650 without a remainder.

1, 2, 5, 10, 25, 50, 1493, 2986, 7465, 14930, 37325

Step-4: Factors of 74655

List of positive integer factors of 74655 that divides 74650 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74650 and 74655. The biggest common factor number is the GCF number.
So the greatest common factor 74650 and 74655 is 5.

Also check out the Least Common Multiple of 74650 and 74655