What is the Greatest Common Factor of 36490 and 36508?

Greatest common factor (GCF) of 36490 and 36508 is 2.

GCF(36490,36508) = 2

We will now calculate the prime factors of 36490 and 36508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36490 and 36508.

How to find the GCF of 36490 and 36508?

We will first find the prime factorization of 36490 and 36508. After we will calculate the factors of 36490 and 36508 and find the biggest common factor number .

Step-1: Prime Factorization of 36490

Prime factors of 36490 are 2, 5, 41, 89. Prime factorization of 36490 in exponential form is:

36490 = 2¹ × 5¹ × 41¹ × 89¹

Step-2: Prime Factorization of 36508

Prime factors of 36508 are 2, 9127. Prime factorization of 36508 in exponential form is:

36508 = 2² × 9127¹

Step-3: Factors of 36490

List of positive integer factors of 36490 that divides 36490 without a remainder.

1, 2, 5, 10, 41, 82, 89, 178, 205, 410, 445, 890, 3649, 7298, 18245

Step-4: Factors of 36508

List of positive integer factors of 36508 that divides 36490 without a remainder.

1, 2, 4, 9127, 18254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36490 and 36508. The biggest common factor number is the GCF number.
So the greatest common factor 36490 and 36508 is 2.

Also check out the Least Common Multiple of 36490 and 36508