What is the Greatest Common Factor of 36554 and 36562?

Greatest common factor (GCF) of 36554 and 36562 is 2.

GCF(36554,36562) = 2

We will now calculate the prime factors of 36554 and 36562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36554 and 36562.

How to find the GCF of 36554 and 36562?

We will first find the prime factorization of 36554 and 36562. After we will calculate the factors of 36554 and 36562 and find the biggest common factor number .

Step-1: Prime Factorization of 36554

Prime factors of 36554 are 2, 7, 373. Prime factorization of 36554 in exponential form is:

36554 = 2¹ × 7² × 373¹

Step-2: Prime Factorization of 36562

Prime factors of 36562 are 2, 101, 181. Prime factorization of 36562 in exponential form is:

36562 = 2¹ × 101¹ × 181¹

Step-3: Factors of 36554

List of positive integer factors of 36554 that divides 36554 without a remainder.

1, 2, 7, 14, 49, 98, 373, 746, 2611, 5222, 18277

Step-4: Factors of 36562

List of positive integer factors of 36562 that divides 36554 without a remainder.

1, 2, 101, 181, 202, 362, 18281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36554 and 36562. The biggest common factor number is the GCF number.
So the greatest common factor 36554 and 36562 is 2.

Also check out the Least Common Multiple of 36554 and 36562