What is the Greatest Common Factor of 74705 and 74720?

Greatest common factor (GCF) of 74705 and 74720 is 5.

GCF(74705,74720) = 5

We will now calculate the prime factors of 74705 and 74720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74705 and 74720.

How to find the GCF of 74705 and 74720?

We will first find the prime factorization of 74705 and 74720. After we will calculate the factors of 74705 and 74720 and find the biggest common factor number .

Step-1: Prime Factorization of 74705

Prime factors of 74705 are 5, 67, 223. Prime factorization of 74705 in exponential form is:

74705 = 5¹ × 67¹ × 223¹

Step-2: Prime Factorization of 74720

Prime factors of 74720 are 2, 5, 467. Prime factorization of 74720 in exponential form is:

74720 = 2⁵ × 5¹ × 467¹

Step-3: Factors of 74705

List of positive integer factors of 74705 that divides 74705 without a remainder.

1, 5, 67, 223, 335, 1115, 14941

Step-4: Factors of 74720

List of positive integer factors of 74720 that divides 74705 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 467, 934, 1868, 2335, 3736, 4670, 7472, 9340, 14944, 18680, 37360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74705 and 74720. The biggest common factor number is the GCF number.
So the greatest common factor 74705 and 74720 is 5.

Also check out the Least Common Multiple of 74705 and 74720