What is the Greatest Common Factor of 36414 and 36431?

Greatest common factor (GCF) of 36414 and 36431 is 17.

GCF(36414,36431) = 17

We will now calculate the prime factors of 36414 and 36431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36414 and 36431.

How to find the GCF of 36414 and 36431?

We will first find the prime factorization of 36414 and 36431. After we will calculate the factors of 36414 and 36431 and find the biggest common factor number .

Step-1: Prime Factorization of 36414

Prime factors of 36414 are 2, 3, 7, 17. Prime factorization of 36414 in exponential form is:

36414 = 2¹ × 3² × 7¹ × 17²

Step-2: Prime Factorization of 36431

Prime factors of 36431 are 17, 2143. Prime factorization of 36431 in exponential form is:

36431 = 17¹ × 2143¹

Step-3: Factors of 36414

List of positive integer factors of 36414 that divides 36414 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 289, 306, 357, 578, 714, 867, 1071, 1734, 2023, 2142, 2601, 4046, 5202, 6069, 12138, 18207

Step-4: Factors of 36431

List of positive integer factors of 36431 that divides 36414 without a remainder.

1, 17, 2143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36414 and 36431. The biggest common factor number is the GCF number.
So the greatest common factor 36414 and 36431 is 17.

Also check out the Least Common Multiple of 36414 and 36431