What is the Greatest Common Factor of 99414 and 99425?

Greatest common factor (GCF) of 99414 and 99425 is 1.

GCF(99414,99425) = 1

We will now calculate the prime factors of 99414 and 99425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99414 and 99425.

How to find the GCF of 99414 and 99425?

We will first find the prime factorization of 99414 and 99425. After we will calculate the factors of 99414 and 99425 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 99425

Prime factors of 99425 are 5, 41, 97. Prime factorization of 99425 in exponential form is:

99425 = 5² × 41¹ × 97¹

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 99425

List of positive integer factors of 99425 that divides 99414 without a remainder.

1, 5, 25, 41, 97, 205, 485, 1025, 2425, 3977, 19885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99414 and 99425. The biggest common factor number is the GCF number.
So the greatest common factor 99414 and 99425 is 1.

Also check out the Least Common Multiple of 99414 and 99425