What is the Greatest Common Factor of 50298 and 50302?

Greatest common factor (GCF) of 50298 and 50302 is 2.

GCF(50298,50302) = 2

We will now calculate the prime factors of 50298 and 50302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50298 and 50302.

How to find the GCF of 50298 and 50302?

We will first find the prime factorization of 50298 and 50302. After we will calculate the factors of 50298 and 50302 and find the biggest common factor number .

Step-1: Prime Factorization of 50298

Prime factors of 50298 are 2, 3, 83, 101. Prime factorization of 50298 in exponential form is:

50298 = 2¹ × 3¹ × 83¹ × 101¹

Step-2: Prime Factorization of 50302

Prime factors of 50302 are 2, 7, 3593. Prime factorization of 50302 in exponential form is:

50302 = 2¹ × 7¹ × 3593¹

Step-3: Factors of 50298

List of positive integer factors of 50298 that divides 50298 without a remainder.

1, 2, 3, 6, 83, 101, 166, 202, 249, 303, 498, 606, 8383, 16766, 25149

Step-4: Factors of 50302

List of positive integer factors of 50302 that divides 50298 without a remainder.

1, 2, 7, 14, 3593, 7186, 25151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50298 and 50302. The biggest common factor number is the GCF number.
So the greatest common factor 50298 and 50302 is 2.

Also check out the Least Common Multiple of 50298 and 50302