What is the Greatest Common Factor of 45298 and 45314?

Greatest common factor (GCF) of 45298 and 45314 is 2.

GCF(45298,45314) = 2

We will now calculate the prime factors of 45298 and 45314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45298 and 45314.

How to find the GCF of 45298 and 45314?

We will first find the prime factorization of 45298 and 45314. After we will calculate the factors of 45298 and 45314 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 45314

Prime factors of 45314 are 2, 139, 163. Prime factorization of 45314 in exponential form is:

45314 = 2¹ × 139¹ × 163¹

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 45314

List of positive integer factors of 45314 that divides 45298 without a remainder.

1, 2, 139, 163, 278, 326, 22657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45298 and 45314. The biggest common factor number is the GCF number.
So the greatest common factor 45298 and 45314 is 2.

Also check out the Least Common Multiple of 45298 and 45314