What is the Greatest Common Factor of 35475 and 35486?

Greatest common factor (GCF) of 35475 and 35486 is 11.

GCF(35475,35486) = 11

We will now calculate the prime factors of 35475 and 35486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35475 and 35486.

How to find the GCF of 35475 and 35486?

We will first find the prime factorization of 35475 and 35486. After we will calculate the factors of 35475 and 35486 and find the biggest common factor number .

Step-1: Prime Factorization of 35475

Prime factors of 35475 are 3, 5, 11, 43. Prime factorization of 35475 in exponential form is:

35475 = 3¹ × 5² × 11¹ × 43¹

Step-2: Prime Factorization of 35486

Prime factors of 35486 are 2, 11, 1613. Prime factorization of 35486 in exponential form is:

35486 = 2¹ × 11¹ × 1613¹

Step-3: Factors of 35475

List of positive integer factors of 35475 that divides 35475 without a remainder.

1, 3, 5, 11, 15, 25, 33, 43, 55, 75, 129, 165, 215, 275, 473, 645, 825, 1075, 1419, 2365, 3225, 7095, 11825

Step-4: Factors of 35486

List of positive integer factors of 35486 that divides 35475 without a remainder.

1, 2, 11, 22, 1613, 3226, 17743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35475 and 35486. The biggest common factor number is the GCF number.
So the greatest common factor 35475 and 35486 is 11.

Also check out the Least Common Multiple of 35475 and 35486