What is the Greatest Common Factor of 99294 and 99307?

Greatest common factor (GCF) of 99294 and 99307 is 13.

GCF(99294,99307) = 13

We will now calculate the prime factors of 99294 and 99307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99294 and 99307.

How to find the GCF of 99294 and 99307?

We will first find the prime factorization of 99294 and 99307. After we will calculate the factors of 99294 and 99307 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 99307

Prime factors of 99307 are 13, 7639. Prime factorization of 99307 in exponential form is:

99307 = 13¹ × 7639¹

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 99307

List of positive integer factors of 99307 that divides 99294 without a remainder.

1, 13, 7639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99294 and 99307. The biggest common factor number is the GCF number.
So the greatest common factor 99294 and 99307 is 13.

Also check out the Least Common Multiple of 99294 and 99307