What is the Greatest Common Factor of 36464 and 36471?

Greatest common factor (GCF) of 36464 and 36471 is 1.

GCF(36464,36471) = 1

We will now calculate the prime factors of 36464 and 36471, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36464 and 36471.

How to find the GCF of 36464 and 36471?

We will first find the prime factorization of 36464 and 36471. After we will calculate the factors of 36464 and 36471 and find the biggest common factor number .

Step-1: Prime Factorization of 36464

Prime factors of 36464 are 2, 43, 53. Prime factorization of 36464 in exponential form is:

36464 = 2⁴ × 43¹ × 53¹

Step-2: Prime Factorization of 36471

Prime factors of 36471 are 3, 12157. Prime factorization of 36471 in exponential form is:

36471 = 3¹ × 12157¹

Step-3: Factors of 36464

List of positive integer factors of 36464 that divides 36464 without a remainder.

1, 2, 4, 8, 16, 43, 53, 86, 106, 172, 212, 344, 424, 688, 848, 2279, 4558, 9116, 18232

Step-4: Factors of 36471

List of positive integer factors of 36471 that divides 36464 without a remainder.

1, 3, 12157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36464 and 36471. The biggest common factor number is the GCF number.
So the greatest common factor 36464 and 36471 is 1.

Also check out the Least Common Multiple of 36464 and 36471