What is the Greatest Common Factor of 36352 and 36370?

Greatest common factor (GCF) of 36352 and 36370 is 2.

GCF(36352,36370) = 2

We will now calculate the prime factors of 36352 and 36370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36352 and 36370.

How to find the GCF of 36352 and 36370?

We will first find the prime factorization of 36352 and 36370. After we will calculate the factors of 36352 and 36370 and find the biggest common factor number .

Step-1: Prime Factorization of 36352

Prime factors of 36352 are 2, 71. Prime factorization of 36352 in exponential form is:

36352 = 2⁹ × 71¹

Step-2: Prime Factorization of 36370

Prime factors of 36370 are 2, 5, 3637. Prime factorization of 36370 in exponential form is:

36370 = 2¹ × 5¹ × 3637¹

Step-3: Factors of 36352

List of positive integer factors of 36352 that divides 36352 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 256, 284, 512, 568, 1136, 2272, 4544, 9088, 18176

Step-4: Factors of 36370

List of positive integer factors of 36370 that divides 36352 without a remainder.

1, 2, 5, 10, 3637, 7274, 18185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36352 and 36370. The biggest common factor number is the GCF number.
So the greatest common factor 36352 and 36370 is 2.

Also check out the Least Common Multiple of 36352 and 36370