What is the Greatest Common Factor of 36414 and 36433?

Greatest common factor (GCF) of 36414 and 36433 is 1.

GCF(36414,36433) = 1

We will now calculate the prime factors of 36414 and 36433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36414 and 36433.

How to find the GCF of 36414 and 36433?

We will first find the prime factorization of 36414 and 36433. After we will calculate the factors of 36414 and 36433 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 36433

Prime factors of 36433 are 36433. Prime factorization of 36433 in exponential form is:

36433 = 36433¹

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 36433

List of positive integer factors of 36433 that divides 36414 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36414 and 36433. The biggest common factor number is the GCF number.
So the greatest common factor 36414 and 36433 is 1.

Also check out the Least Common Multiple of 36414 and 36433