What is the Greatest Common Factor of 36730 and 36750?

Greatest common factor (GCF) of 36730 and 36750 is 10.

GCF(36730,36750) = 10

We will now calculate the prime factors of 36730 and 36750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36730 and 36750.

How to find the GCF of 36730 and 36750?

We will first find the prime factorization of 36730 and 36750. After we will calculate the factors of 36730 and 36750 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 36750

Prime factors of 36750 are 2, 3, 5, 7. Prime factorization of 36750 in exponential form is:

36750 = 2¹ × 3¹ × 5³ × 7²

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 36750

List of positive integer factors of 36750 that divides 36730 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 125, 147, 150, 175, 210, 245, 250, 294, 350, 375, 490, 525, 735, 750, 875, 1050, 1225, 1470, 1750, 2450, 2625, 3675, 5250, 6125, 7350, 12250, 18375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36730 and 36750. The biggest common factor number is the GCF number.
So the greatest common factor 36730 and 36750 is 10.

Also check out the Least Common Multiple of 36730 and 36750