What is the Greatest Common Factor of 45298 and 45309?

Greatest common factor (GCF) of 45298 and 45309 is 11.

GCF(45298,45309) = 11

We will now calculate the prime factors of 45298 and 45309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45298 and 45309.

How to find the GCF of 45298 and 45309?

We will first find the prime factorization of 45298 and 45309. After we will calculate the factors of 45298 and 45309 and find the biggest common factor number .

Step-1: Prime Factorization of 45298

Prime factors of 45298 are 2, 11, 29, 71. Prime factorization of 45298 in exponential form is:

45298 = 2¹ × 11¹ × 29¹ × 71¹

Step-2: 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-3: Factors of 45298

List of positive integer factors of 45298 that divides 45298 without a remainder.

1, 2, 11, 22, 29, 58, 71, 142, 319, 638, 781, 1562, 2059, 4118, 22649

Step-4: Factors of 45309

List of positive integer factors of 45309 that divides 45298 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45298 and 45309. The biggest common factor number is the GCF number.
So the greatest common factor 45298 and 45309 is 11.

Also check out the Least Common Multiple of 45298 and 45309