What is the Greatest Common Factor of 45261 and 45267?

Greatest common factor (GCF) of 45261 and 45267 is 3.

GCF(45261,45267) = 3

We will now calculate the prime factors of 45261 and 45267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45261 and 45267.

How to find the GCF of 45261 and 45267?

We will first find the prime factorization of 45261 and 45267. After we will calculate the factors of 45261 and 45267 and find the biggest common factor number .

Step-1: Prime Factorization of 45261

Prime factors of 45261 are 3, 47, 107. Prime factorization of 45261 in exponential form is:

45261 = 3² × 47¹ × 107¹

Step-2: Prime Factorization of 45267

Prime factors of 45267 are 3, 79, 191. Prime factorization of 45267 in exponential form is:

45267 = 3¹ × 79¹ × 191¹

Step-3: Factors of 45261

List of positive integer factors of 45261 that divides 45261 without a remainder.

1, 3, 9, 47, 107, 141, 321, 423, 963, 5029, 15087

Step-4: Factors of 45267

List of positive integer factors of 45267 that divides 45261 without a remainder.

1, 3, 79, 191, 237, 573, 15089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45261 and 45267. The biggest common factor number is the GCF number.
So the greatest common factor 45261 and 45267 is 3.

Also check out the Least Common Multiple of 45261 and 45267