What is the Greatest Common Factor of 35466 and 35484?

Greatest common factor (GCF) of 35466 and 35484 is 6.

GCF(35466,35484) = 6

We will now calculate the prime factors of 35466 and 35484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35466 and 35484.

How to find the GCF of 35466 and 35484?

We will first find the prime factorization of 35466 and 35484. After we will calculate the factors of 35466 and 35484 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 35484

Prime factors of 35484 are 2, 3, 2957. Prime factorization of 35484 in exponential form is:

35484 = 2² × 3¹ × 2957¹

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 35484

List of positive integer factors of 35484 that divides 35466 without a remainder.

1, 2, 3, 4, 6, 12, 2957, 5914, 8871, 11828, 17742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35466 and 35484. The biggest common factor number is the GCF number.
So the greatest common factor 35466 and 35484 is 6.

Also check out the Least Common Multiple of 35466 and 35484