What is the Greatest Common Factor of 45807 and 45822?

Greatest common factor (GCF) of 45807 and 45822 is 3.

GCF(45807,45822) = 3

We will now calculate the prime factors of 45807 and 45822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45807 and 45822.

How to find the GCF of 45807 and 45822?

We will first find the prime factorization of 45807 and 45822. After we will calculate the factors of 45807 and 45822 and find the biggest common factor number .

Step-1: Prime Factorization of 45807

Prime factors of 45807 are 3, 15269. Prime factorization of 45807 in exponential form is:

45807 = 3¹ × 15269¹

Step-2: Prime Factorization of 45822

Prime factors of 45822 are 2, 3, 7, 1091. Prime factorization of 45822 in exponential form is:

45822 = 2¹ × 3¹ × 7¹ × 1091¹

Step-3: Factors of 45807

List of positive integer factors of 45807 that divides 45807 without a remainder.

1, 3, 15269

Step-4: Factors of 45822

List of positive integer factors of 45822 that divides 45807 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1091, 2182, 3273, 6546, 7637, 15274, 22911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45807 and 45822. The biggest common factor number is the GCF number.
So the greatest common factor 45807 and 45822 is 3.

Also check out the Least Common Multiple of 45807 and 45822