What is the Greatest Common Factor of 36750 and 36769?

Greatest common factor (GCF) of 36750 and 36769 is 1.

GCF(36750,36769) = 1

We will now calculate the prime factors of 36750 and 36769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36750 and 36769.

How to find the GCF of 36750 and 36769?

We will first find the prime factorization of 36750 and 36769. After we will calculate the factors of 36750 and 36769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36769

Prime factors of 36769 are 83, 443. Prime factorization of 36769 in exponential form is:

36769 = 83¹ × 443¹

Step-3: Factors of 36750

List of positive integer factors of 36750 that divides 36750 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

Step-4: Factors of 36769

List of positive integer factors of 36769 that divides 36750 without a remainder.

1, 83, 443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36750 and 36769. The biggest common factor number is the GCF number.
So the greatest common factor 36750 and 36769 is 1.

Also check out the Least Common Multiple of 36750 and 36769