What is the Greatest Common Factor of 36730 and 36748?

Greatest common factor (GCF) of 36730 and 36748 is 2.

GCF(36730,36748) = 2

We will now calculate the prime factors of 36730 and 36748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36730 and 36748.

How to find the GCF of 36730 and 36748?

We will first find the prime factorization of 36730 and 36748. After we will calculate the factors of 36730 and 36748 and find the biggest common factor number .

Step-1: Prime Factorization of 36730

Prime factors of 36730 are 2, 5, 3673. Prime factorization of 36730 in exponential form is:

36730 = 2¹ × 5¹ × 3673¹

Step-2: Prime Factorization of 36748

Prime factors of 36748 are 2, 9187. Prime factorization of 36748 in exponential form is:

36748 = 2² × 9187¹

Step-3: Factors of 36730

List of positive integer factors of 36730 that divides 36730 without a remainder.

1, 2, 5, 10, 3673, 7346, 18365

Step-4: Factors of 36748

List of positive integer factors of 36748 that divides 36730 without a remainder.

1, 2, 4, 9187, 18374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36730 and 36748. The biggest common factor number is the GCF number.
So the greatest common factor 36730 and 36748 is 2.

Also check out the Least Common Multiple of 36730 and 36748