What is the Greatest Common Factor of 36490 and 36502?

Greatest common factor (GCF) of 36490 and 36502 is 2.

GCF(36490,36502) = 2

We will now calculate the prime factors of 36490 and 36502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36490 and 36502.

How to find the GCF of 36490 and 36502?

We will first find the prime factorization of 36490 and 36502. After we will calculate the factors of 36490 and 36502 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 36502

Prime factors of 36502 are 2, 18251. Prime factorization of 36502 in exponential form is:

36502 = 2¹ × 18251¹

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 36502

List of positive integer factors of 36502 that divides 36490 without a remainder.

1, 2, 18251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36490 and 36502. The biggest common factor number is the GCF number.
So the greatest common factor 36490 and 36502 is 2.

Also check out the Least Common Multiple of 36490 and 36502