What is the Greatest Common Factor of 74429 and 74445?

Greatest common factor (GCF) of 74429 and 74445 is 1.

GCF(74429,74445) = 1

We will now calculate the prime factors of 74429 and 74445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74429 and 74445.

How to find the GCF of 74429 and 74445?

We will first find the prime factorization of 74429 and 74445. After we will calculate the factors of 74429 and 74445 and find the biggest common factor number .

Step-1: Prime Factorization of 74429

Prime factors of 74429 are 263, 283. Prime factorization of 74429 in exponential form is:

74429 = 263¹ × 283¹

Step-2: 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-3: Factors of 74429

List of positive integer factors of 74429 that divides 74429 without a remainder.

1, 263, 283

Step-4: Factors of 74445

List of positive integer factors of 74445 that divides 74429 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74429 and 74445. The biggest common factor number is the GCF number.
So the greatest common factor 74429 and 74445 is 1.

Also check out the Least Common Multiple of 74429 and 74445