What is the Greatest Common Factor of 45298 and 45304?

Greatest common factor (GCF) of 45298 and 45304 is 2.

GCF(45298,45304) = 2

We will now calculate the prime factors of 45298 and 45304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45298 and 45304.

How to find the GCF of 45298 and 45304?

We will first find the prime factorization of 45298 and 45304. After we will calculate the factors of 45298 and 45304 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 45304

Prime factors of 45304 are 2, 7, 809. Prime factorization of 45304 in exponential form is:

45304 = 2³ × 7¹ × 809¹

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 45304

List of positive integer factors of 45304 that divides 45298 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 809, 1618, 3236, 5663, 6472, 11326, 22652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45298 and 45304. The biggest common factor number is the GCF number.
So the greatest common factor 45298 and 45304 is 2.

Also check out the Least Common Multiple of 45298 and 45304