What is the Greatest Common Factor of 36746 and 36765?

Greatest common factor (GCF) of 36746 and 36765 is 19.

GCF(36746,36765) = 19

We will now calculate the prime factors of 36746 and 36765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36746 and 36765.

How to find the GCF of 36746 and 36765?

We will first find the prime factorization of 36746 and 36765. After we will calculate the factors of 36746 and 36765 and find the biggest common factor number .

Step-1: Prime Factorization of 36746

Prime factors of 36746 are 2, 19, 967. Prime factorization of 36746 in exponential form is:

36746 = 2¹ × 19¹ × 967¹

Step-2: Prime Factorization of 36765

Prime factors of 36765 are 3, 5, 19, 43. Prime factorization of 36765 in exponential form is:

36765 = 3² × 5¹ × 19¹ × 43¹

Step-3: Factors of 36746

List of positive integer factors of 36746 that divides 36746 without a remainder.

1, 2, 19, 38, 967, 1934, 18373

Step-4: Factors of 36765

List of positive integer factors of 36765 that divides 36746 without a remainder.

1, 3, 5, 9, 15, 19, 43, 45, 57, 95, 129, 171, 215, 285, 387, 645, 817, 855, 1935, 2451, 4085, 7353, 12255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36746 and 36765. The biggest common factor number is the GCF number.
So the greatest common factor 36746 and 36765 is 19.

Also check out the Least Common Multiple of 36746 and 36765