What is the Greatest Common Factor of 49290 and 49298?

Greatest common factor (GCF) of 49290 and 49298 is 2.

GCF(49290,49298) = 2

We will now calculate the prime factors of 49290 and 49298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49290 and 49298.

How to find the GCF of 49290 and 49298?

We will first find the prime factorization of 49290 and 49298. After we will calculate the factors of 49290 and 49298 and find the biggest common factor number .

Step-1: Prime Factorization of 49290

Prime factors of 49290 are 2, 3, 5, 31, 53. Prime factorization of 49290 in exponential form is:

49290 = 2¹ × 3¹ × 5¹ × 31¹ × 53¹

Step-2: Prime Factorization of 49298

Prime factors of 49298 are 2, 157. Prime factorization of 49298 in exponential form is:

49298 = 2¹ × 157²

Step-3: Factors of 49290

List of positive integer factors of 49290 that divides 49290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 53, 62, 93, 106, 155, 159, 186, 265, 310, 318, 465, 530, 795, 930, 1590, 1643, 3286, 4929, 8215, 9858, 16430, 24645

Step-4: Factors of 49298

List of positive integer factors of 49298 that divides 49290 without a remainder.

1, 2, 157, 314, 24649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49290 and 49298. The biggest common factor number is the GCF number.
So the greatest common factor 49290 and 49298 is 2.

Also check out the Least Common Multiple of 49290 and 49298