What is the Greatest Common Factor of 74665 and 74680?

Greatest common factor (GCF) of 74665 and 74680 is 5.

GCF(74665,74680) = 5

We will now calculate the prime factors of 74665 and 74680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74665 and 74680.

How to find the GCF of 74665 and 74680?

We will first find the prime factorization of 74665 and 74680. After we will calculate the factors of 74665 and 74680 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 74680

Prime factors of 74680 are 2, 5, 1867. Prime factorization of 74680 in exponential form is:

74680 = 2³ × 5¹ × 1867¹

Step-3: Factors of 74665

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

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

Step-4: Factors of 74680

List of positive integer factors of 74680 that divides 74665 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1867, 3734, 7468, 9335, 14936, 18670, 37340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74665 and 74680. The biggest common factor number is the GCF number.
So the greatest common factor 74665 and 74680 is 5.

Also check out the Least Common Multiple of 74665 and 74680