What is the Greatest Common Factor of 74365 and 74380?

Greatest common factor (GCF) of 74365 and 74380 is 5.

GCF(74365,74380) = 5

We will now calculate the prime factors of 74365 and 74380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74365 and 74380.

How to find the GCF of 74365 and 74380?

We will first find the prime factorization of 74365 and 74380. After we will calculate the factors of 74365 and 74380 and find the biggest common factor number .

Step-1: Prime Factorization of 74365

Prime factors of 74365 are 5, 107, 139. Prime factorization of 74365 in exponential form is:

74365 = 5¹ × 107¹ × 139¹

Step-2: Prime Factorization of 74380

Prime factors of 74380 are 2, 5, 3719. Prime factorization of 74380 in exponential form is:

74380 = 2² × 5¹ × 3719¹

Step-3: Factors of 74365

List of positive integer factors of 74365 that divides 74365 without a remainder.

1, 5, 107, 139, 535, 695, 14873

Step-4: Factors of 74380

List of positive integer factors of 74380 that divides 74365 without a remainder.

1, 2, 4, 5, 10, 20, 3719, 7438, 14876, 18595, 37190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74365 and 74380. The biggest common factor number is the GCF number.
So the greatest common factor 74365 and 74380 is 5.

Also check out the Least Common Multiple of 74365 and 74380