What is the Greatest Common Factor of 74475 and 74486?

Greatest common factor (GCF) of 74475 and 74486 is 1.

GCF(74475,74486) = 1

We will now calculate the prime factors of 74475 and 74486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74475 and 74486.

How to find the GCF of 74475 and 74486?

We will first find the prime factorization of 74475 and 74486. After we will calculate the factors of 74475 and 74486 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 74486

Prime factors of 74486 are 2, 37243. Prime factorization of 74486 in exponential form is:

74486 = 2¹ × 37243¹

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 74486

List of positive integer factors of 74486 that divides 74475 without a remainder.

1, 2, 37243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74475 and 74486. The biggest common factor number is the GCF number.
So the greatest common factor 74475 and 74486 is 1.

Also check out the Least Common Multiple of 74475 and 74486