What is the Greatest Common Factor of 35451 and 35466?

Greatest common factor (GCF) of 35451 and 35466 is 3.

GCF(35451,35466) = 3

We will now calculate the prime factors of 35451 and 35466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35451 and 35466.

How to find the GCF of 35451 and 35466?

We will first find the prime factorization of 35451 and 35466. After we will calculate the factors of 35451 and 35466 and find the biggest common factor number .

Step-1: Prime Factorization of 35451

Prime factors of 35451 are 3, 13, 101. Prime factorization of 35451 in exponential form is:

35451 = 3³ × 13¹ × 101¹

Step-2: 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-3: Factors of 35451

List of positive integer factors of 35451 that divides 35451 without a remainder.

1, 3, 9, 13, 27, 39, 101, 117, 303, 351, 909, 1313, 2727, 3939, 11817

Step-4: Factors of 35466

List of positive integer factors of 35466 that divides 35451 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35451 and 35466. The biggest common factor number is the GCF number.
So the greatest common factor 35451 and 35466 is 3.

Also check out the Least Common Multiple of 35451 and 35466