What is the Greatest Common Factor of 35466 and 35475?

Greatest common factor (GCF) of 35466 and 35475 is 3.

GCF(35466,35475) = 3

We will now calculate the prime factors of 35466 and 35475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35466 and 35475.

How to find the GCF of 35466 and 35475?

We will first find the prime factorization of 35466 and 35475. After we will calculate the factors of 35466 and 35475 and find the biggest common factor number .

Step-1: Prime Factorization of 35466

Prime factors of 35466 are 2, 3, 23, 257. Prime factorization of 35466 in exponential form is:

35466 = 2¹ × 3¹ × 23¹ × 257¹

Step-2: 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-3: Factors of 35466

List of positive integer factors of 35466 that divides 35466 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 257, 514, 771, 1542, 5911, 11822, 17733

Step-4: Factors of 35475

List of positive integer factors of 35475 that divides 35466 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35466 and 35475. The biggest common factor number is the GCF number.
So the greatest common factor 35466 and 35475 is 3.

Also check out the Least Common Multiple of 35466 and 35475