What is the Greatest Common Factor of 36727 and 36746?

Greatest common factor (GCF) of 36727 and 36746 is 19.

GCF(36727,36746) = 19

We will now calculate the prime factors of 36727 and 36746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36727 and 36746.

How to find the GCF of 36727 and 36746?

We will first find the prime factorization of 36727 and 36746. After we will calculate the factors of 36727 and 36746 and find the biggest common factor number .

Step-1: Prime Factorization of 36727

Prime factors of 36727 are 19, 1933. Prime factorization of 36727 in exponential form is:

36727 = 19¹ × 1933¹

Step-2: 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-3: Factors of 36727

List of positive integer factors of 36727 that divides 36727 without a remainder.

1, 19, 1933

Step-4: Factors of 36746

List of positive integer factors of 36746 that divides 36727 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36727 and 36746. The biggest common factor number is the GCF number.
So the greatest common factor 36727 and 36746 is 19.

Also check out the Least Common Multiple of 36727 and 36746