What is the Greatest Common Factor of 45298 and 45313?

Greatest common factor (GCF) of 45298 and 45313 is 1.

GCF(45298,45313) = 1

We will now calculate the prime factors of 45298 and 45313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45298 and 45313.

How to find the GCF of 45298 and 45313?

We will first find the prime factorization of 45298 and 45313. After we will calculate the factors of 45298 and 45313 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 45313

Prime factors of 45313 are 113, 401. Prime factorization of 45313 in exponential form is:

45313 = 113¹ × 401¹

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 45313

List of positive integer factors of 45313 that divides 45298 without a remainder.

1, 113, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45298 and 45313. The biggest common factor number is the GCF number.
So the greatest common factor 45298 and 45313 is 1.

Also check out the Least Common Multiple of 45298 and 45313