What is the Greatest Common Factor of 45294 and 45306?

Greatest common factor (GCF) of 45294 and 45306 is 6.

GCF(45294,45306) = 6

We will now calculate the prime factors of 45294 and 45306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45294 and 45306.

How to find the GCF of 45294 and 45306?

We will first find the prime factorization of 45294 and 45306. After we will calculate the factors of 45294 and 45306 and find the biggest common factor number .

Step-1: Prime Factorization of 45294

Prime factors of 45294 are 2, 3, 7549. Prime factorization of 45294 in exponential form is:

45294 = 2¹ × 3¹ × 7549¹

Step-2: Prime Factorization of 45306

Prime factors of 45306 are 2, 3, 839. Prime factorization of 45306 in exponential form is:

45306 = 2¹ × 3³ × 839¹

Step-3: Factors of 45294

List of positive integer factors of 45294 that divides 45294 without a remainder.

1, 2, 3, 6, 7549, 15098, 22647

Step-4: Factors of 45306

List of positive integer factors of 45306 that divides 45294 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 839, 1678, 2517, 5034, 7551, 15102, 22653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45294 and 45306. The biggest common factor number is the GCF number.
So the greatest common factor 45294 and 45306 is 6.

Also check out the Least Common Multiple of 45294 and 45306