What is the Greatest Common Factor of 74475 and 74483?

Greatest common factor (GCF) of 74475 and 74483 is 1.

GCF(74475,74483) = 1

We will now calculate the prime factors of 74475 and 74483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74475 and 74483.

How to find the GCF of 74475 and 74483?

We will first find the prime factorization of 74475 and 74483. After we will calculate the factors of 74475 and 74483 and find the biggest common factor number .

Step-1: Prime Factorization of 74475

Prime factors of 74475 are 3, 5, 331. Prime factorization of 74475 in exponential form is:

74475 = 3² × 5² × 331¹

Step-2: Prime Factorization of 74483

Prime factors of 74483 are 211, 353. Prime factorization of 74483 in exponential form is:

74483 = 211¹ × 353¹

Step-3: Factors of 74475

List of positive integer factors of 74475 that divides 74475 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 331, 993, 1655, 2979, 4965, 8275, 14895, 24825

Step-4: Factors of 74483

List of positive integer factors of 74483 that divides 74475 without a remainder.

1, 211, 353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74475 and 74483. The biggest common factor number is the GCF number.
So the greatest common factor 74475 and 74483 is 1.

Also check out the Least Common Multiple of 74475 and 74483