What is the Greatest Common Factor of 36470 and 36484?

Greatest common factor (GCF) of 36470 and 36484 is 14.

GCF(36470,36484) = 14

We will now calculate the prime factors of 36470 and 36484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36470 and 36484.

How to find the GCF of 36470 and 36484?

We will first find the prime factorization of 36470 and 36484. After we will calculate the factors of 36470 and 36484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36484

Prime factors of 36484 are 2, 7, 1303. Prime factorization of 36484 in exponential form is:

36484 = 2² × 7¹ × 1303¹

Step-3: Factors of 36470

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

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

Step-4: Factors of 36484

List of positive integer factors of 36484 that divides 36470 without a remainder.

1, 2, 4, 7, 14, 28, 1303, 2606, 5212, 9121, 18242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36470 and 36484. The biggest common factor number is the GCF number.
So the greatest common factor 36470 and 36484 is 14.

Also check out the Least Common Multiple of 36470 and 36484