What is the Greatest Common Factor of 36416 and 36423?

Greatest common factor (GCF) of 36416 and 36423 is 1.

GCF(36416,36423) = 1

We will now calculate the prime factors of 36416 and 36423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36416 and 36423.

How to find the GCF of 36416 and 36423?

We will first find the prime factorization of 36416 and 36423. After we will calculate the factors of 36416 and 36423 and find the biggest common factor number .

Step-1: Prime Factorization of 36416

Prime factors of 36416 are 2, 569. Prime factorization of 36416 in exponential form is:

36416 = 2⁶ × 569¹

Step-2: Prime Factorization of 36423

Prime factors of 36423 are 3, 19, 71. Prime factorization of 36423 in exponential form is:

36423 = 3³ × 19¹ × 71¹

Step-3: Factors of 36416

List of positive integer factors of 36416 that divides 36416 without a remainder.

1, 2, 4, 8, 16, 32, 64, 569, 1138, 2276, 4552, 9104, 18208

Step-4: Factors of 36423

List of positive integer factors of 36423 that divides 36416 without a remainder.

1, 3, 9, 19, 27, 57, 71, 171, 213, 513, 639, 1349, 1917, 4047, 12141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36416 and 36423. The biggest common factor number is the GCF number.
So the greatest common factor 36416 and 36423 is 1.

Also check out the Least Common Multiple of 36416 and 36423