What is the Greatest Common Factor of 99414 and 99429?

Greatest common factor (GCF) of 99414 and 99429 is 3.

GCF(99414,99429) = 3

We will now calculate the prime factors of 99414 and 99429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99414 and 99429.

How to find the GCF of 99414 and 99429?

We will first find the prime factorization of 99414 and 99429. After we will calculate the factors of 99414 and 99429 and find the biggest common factor number .

Step-1: Prime Factorization of 99414

Prime factors of 99414 are 2, 3, 7, 263. Prime factorization of 99414 in exponential form is:

99414 = 2¹ × 3³ × 7¹ × 263¹

Step-2: Prime Factorization of 99429

Prime factors of 99429 are 3, 11, 23, 131. Prime factorization of 99429 in exponential form is:

99429 = 3¹ × 11¹ × 23¹ × 131¹

Step-3: Factors of 99414

List of positive integer factors of 99414 that divides 99414 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 263, 378, 526, 789, 1578, 1841, 2367, 3682, 4734, 5523, 7101, 11046, 14202, 16569, 33138, 49707

Step-4: Factors of 99429

List of positive integer factors of 99429 that divides 99414 without a remainder.

1, 3, 11, 23, 33, 69, 131, 253, 393, 759, 1441, 3013, 4323, 9039, 33143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99414 and 99429. The biggest common factor number is the GCF number.
So the greatest common factor 99414 and 99429 is 3.

Also check out the Least Common Multiple of 99414 and 99429