What is the Greatest Common Factor of 45298 and 45302?

Greatest common factor (GCF) of 45298 and 45302 is 2.

GCF(45298,45302) = 2

We will now calculate the prime factors of 45298 and 45302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45298 and 45302.

How to find the GCF of 45298 and 45302?

We will first find the prime factorization of 45298 and 45302. After we will calculate the factors of 45298 and 45302 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 45302

Prime factors of 45302 are 2, 22651. Prime factorization of 45302 in exponential form is:

45302 = 2¹ × 22651¹

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 45302

List of positive integer factors of 45302 that divides 45298 without a remainder.

1, 2, 22651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45298 and 45302. The biggest common factor number is the GCF number.
So the greatest common factor 45298 and 45302 is 2.

Also check out the Least Common Multiple of 45298 and 45302