What is the Greatest Common Factor of 49290 and 49304?

Greatest common factor (GCF) of 49290 and 49304 is 2.

GCF(49290,49304) = 2

We will now calculate the prime factors of 49290 and 49304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49290 and 49304.

How to find the GCF of 49290 and 49304?

We will first find the prime factorization of 49290 and 49304. After we will calculate the factors of 49290 and 49304 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 49304

Prime factors of 49304 are 2, 6163. Prime factorization of 49304 in exponential form is:

49304 = 2³ × 6163¹

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 49304

List of positive integer factors of 49304 that divides 49290 without a remainder.

1, 2, 4, 8, 6163, 12326, 24652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49290 and 49304. The biggest common factor number is the GCF number.
So the greatest common factor 49290 and 49304 is 2.

Also check out the Least Common Multiple of 49290 and 49304