What is the Greatest Common Factor of 36570 and 36590?

Greatest common factor (GCF) of 36570 and 36590 is 10.

GCF(36570,36590) = 10

We will now calculate the prime factors of 36570 and 36590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36570 and 36590.

How to find the GCF of 36570 and 36590?

We will first find the prime factorization of 36570 and 36590. After we will calculate the factors of 36570 and 36590 and find the biggest common factor number .

Step-1: Prime Factorization of 36570

Prime factors of 36570 are 2, 3, 5, 23, 53. Prime factorization of 36570 in exponential form is:

36570 = 2¹ × 3¹ × 5¹ × 23¹ × 53¹

Step-2: Prime Factorization of 36590

Prime factors of 36590 are 2, 5, 3659. Prime factorization of 36590 in exponential form is:

36590 = 2¹ × 5¹ × 3659¹

Step-3: Factors of 36570

List of positive integer factors of 36570 that divides 36570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 53, 69, 106, 115, 138, 159, 230, 265, 318, 345, 530, 690, 795, 1219, 1590, 2438, 3657, 6095, 7314, 12190, 18285

Step-4: Factors of 36590

List of positive integer factors of 36590 that divides 36570 without a remainder.

1, 2, 5, 10, 3659, 7318, 18295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36570 and 36590. The biggest common factor number is the GCF number.
So the greatest common factor 36570 and 36590 is 10.

Also check out the Least Common Multiple of 36570 and 36590