What is the Greatest Common Factor of 45309 and 45320?

Greatest common factor (GCF) of 45309 and 45320 is 11.

GCF(45309,45320) = 11

We will now calculate the prime factors of 45309 and 45320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45309 and 45320.

How to find the GCF of 45309 and 45320?

We will first find the prime factorization of 45309 and 45320. After we will calculate the factors of 45309 and 45320 and find the biggest common factor number .

Step-1: Prime Factorization of 45309

Prime factors of 45309 are 3, 11, 1373. Prime factorization of 45309 in exponential form is:

45309 = 3¹ × 11¹ × 1373¹

Step-2: Prime Factorization of 45320

Prime factors of 45320 are 2, 5, 11, 103. Prime factorization of 45320 in exponential form is:

45320 = 2³ × 5¹ × 11¹ × 103¹

Step-3: Factors of 45309

List of positive integer factors of 45309 that divides 45309 without a remainder.

1, 3, 11, 33, 1373, 4119, 15103

Step-4: Factors of 45320

List of positive integer factors of 45320 that divides 45309 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 103, 110, 206, 220, 412, 440, 515, 824, 1030, 1133, 2060, 2266, 4120, 4532, 5665, 9064, 11330, 22660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45309 and 45320. The biggest common factor number is the GCF number.
So the greatest common factor 45309 and 45320 is 11.

Also check out the Least Common Multiple of 45309 and 45320