What is the Greatest Common Factor of 74445 and 74455?

Greatest common factor (GCF) of 74445 and 74455 is 5.

GCF(74445,74455) = 5

We will now calculate the prime factors of 74445 and 74455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74445 and 74455.

How to find the GCF of 74445 and 74455?

We will first find the prime factorization of 74445 and 74455. After we will calculate the factors of 74445 and 74455 and find the biggest common factor number .

Step-1: Prime Factorization of 74445

Prime factors of 74445 are 3, 5, 7, 709. Prime factorization of 74445 in exponential form is:

74445 = 3¹ × 5¹ × 7¹ × 709¹

Step-2: Prime Factorization of 74455

Prime factors of 74455 are 5, 14891. Prime factorization of 74455 in exponential form is:

74455 = 5¹ × 14891¹

Step-3: Factors of 74445

List of positive integer factors of 74445 that divides 74445 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 709, 2127, 3545, 4963, 10635, 14889, 24815

Step-4: Factors of 74455

List of positive integer factors of 74455 that divides 74445 without a remainder.

1, 5, 14891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74445 and 74455. The biggest common factor number is the GCF number.
So the greatest common factor 74445 and 74455 is 5.

Also check out the Least Common Multiple of 74445 and 74455