What is the Greatest Common Factor of 99337 and 99351?

Greatest common factor (GCF) of 99337 and 99351 is 7.

GCF(99337,99351) = 7

We will now calculate the prime factors of 99337 and 99351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99337 and 99351.

How to find the GCF of 99337 and 99351?

We will first find the prime factorization of 99337 and 99351. After we will calculate the factors of 99337 and 99351 and find the biggest common factor number .

Step-1: Prime Factorization of 99337

Prime factors of 99337 are 7, 23, 617. Prime factorization of 99337 in exponential form is:

99337 = 7¹ × 23¹ × 617¹

Step-2: Prime Factorization of 99351

Prime factors of 99351 are 3, 7, 19, 83. Prime factorization of 99351 in exponential form is:

99351 = 3² × 7¹ × 19¹ × 83¹

Step-3: Factors of 99337

List of positive integer factors of 99337 that divides 99337 without a remainder.

1, 7, 23, 161, 617, 4319, 14191

Step-4: Factors of 99351

List of positive integer factors of 99351 that divides 99337 without a remainder.

1, 3, 7, 9, 19, 21, 57, 63, 83, 133, 171, 249, 399, 581, 747, 1197, 1577, 1743, 4731, 5229, 11039, 14193, 33117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99337 and 99351. The biggest common factor number is the GCF number.
So the greatest common factor 99337 and 99351 is 7.

Also check out the Least Common Multiple of 99337 and 99351