What is the Greatest Common Factor of 36664 and 36669?

Greatest common factor (GCF) of 36664 and 36669 is 1.

GCF(36664,36669) = 1

We will now calculate the prime factors of 36664 and 36669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36664 and 36669.

How to find the GCF of 36664 and 36669?

We will first find the prime factorization of 36664 and 36669. After we will calculate the factors of 36664 and 36669 and find the biggest common factor number .

Step-1: Prime Factorization of 36664

Prime factors of 36664 are 2, 4583. Prime factorization of 36664 in exponential form is:

36664 = 2³ × 4583¹

Step-2: Prime Factorization of 36669

Prime factors of 36669 are 3, 17, 719. Prime factorization of 36669 in exponential form is:

36669 = 3¹ × 17¹ × 719¹

Step-3: Factors of 36664

List of positive integer factors of 36664 that divides 36664 without a remainder.

1, 2, 4, 8, 4583, 9166, 18332

Step-4: Factors of 36669

List of positive integer factors of 36669 that divides 36664 without a remainder.

1, 3, 17, 51, 719, 2157, 12223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36664 and 36669. The biggest common factor number is the GCF number.
So the greatest common factor 36664 and 36669 is 1.

Also check out the Least Common Multiple of 36664 and 36669