What is the Greatest Common Factor of 36460 and 36470?

Greatest common factor (GCF) of 36460 and 36470 is 10.

GCF(36460,36470) = 10

We will now calculate the prime factors of 36460 and 36470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36460 and 36470.

How to find the GCF of 36460 and 36470?

We will first find the prime factorization of 36460 and 36470. After we will calculate the factors of 36460 and 36470 and find the biggest common factor number .

Step-1: Prime Factorization of 36460

Prime factors of 36460 are 2, 5, 1823. Prime factorization of 36460 in exponential form is:

36460 = 2² × 5¹ × 1823¹

Step-2: Prime Factorization of 36470

Prime factors of 36470 are 2, 5, 7, 521. Prime factorization of 36470 in exponential form is:

36470 = 2¹ × 5¹ × 7¹ × 521¹

Step-3: Factors of 36460

List of positive integer factors of 36460 that divides 36460 without a remainder.

1, 2, 4, 5, 10, 20, 1823, 3646, 7292, 9115, 18230

Step-4: Factors of 36470

List of positive integer factors of 36470 that divides 36460 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 521, 1042, 2605, 3647, 5210, 7294, 18235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36460 and 36470. The biggest common factor number is the GCF number.
So the greatest common factor 36460 and 36470 is 10.

Also check out the Least Common Multiple of 36460 and 36470