What is the Greatest Common Factor of 36414 and 36434?

Greatest common factor (GCF) of 36414 and 36434 is 2.

GCF(36414,36434) = 2

We will now calculate the prime factors of 36414 and 36434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36414 and 36434.

How to find the GCF of 36414 and 36434?

We will first find the prime factorization of 36414 and 36434. After we will calculate the factors of 36414 and 36434 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 36434

Prime factors of 36434 are 2, 18217. Prime factorization of 36434 in exponential form is:

36434 = 2¹ × 18217¹

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 36434

List of positive integer factors of 36434 that divides 36414 without a remainder.

1, 2, 18217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36414 and 36434. The biggest common factor number is the GCF number.
So the greatest common factor 36414 and 36434 is 2.

Also check out the Least Common Multiple of 36414 and 36434