What is the Greatest Common Factor of 99294 and 99313?

Greatest common factor (GCF) of 99294 and 99313 is 19.

GCF(99294,99313) = 19

We will now calculate the prime factors of 99294 and 99313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99294 and 99313.

How to find the GCF of 99294 and 99313?

We will first find the prime factorization of 99294 and 99313. After we will calculate the factors of 99294 and 99313 and find the biggest common factor number .

Step-1: Prime Factorization of 99294

Prime factors of 99294 are 2, 3, 13, 19, 67. Prime factorization of 99294 in exponential form is:

99294 = 2¹ × 3¹ × 13¹ × 19¹ × 67¹

Step-2: Prime Factorization of 99313

Prime factors of 99313 are 19, 5227. Prime factorization of 99313 in exponential form is:

99313 = 19¹ × 5227¹

Step-3: Factors of 99294

List of positive integer factors of 99294 that divides 99294 without a remainder.

1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 67, 78, 114, 134, 201, 247, 402, 494, 741, 871, 1273, 1482, 1742, 2546, 2613, 3819, 5226, 7638, 16549, 33098, 49647

Step-4: Factors of 99313

List of positive integer factors of 99313 that divides 99294 without a remainder.

1, 19, 5227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99294 and 99313. The biggest common factor number is the GCF number.
So the greatest common factor 99294 and 99313 is 19.

Also check out the Least Common Multiple of 99294 and 99313