What is the Greatest Common Factor of 36354 and 36362?

Greatest common factor (GCF) of 36354 and 36362 is 2.

GCF(36354,36362) = 2

We will now calculate the prime factors of 36354 and 36362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36354 and 36362.

How to find the GCF of 36354 and 36362?

We will first find the prime factorization of 36354 and 36362. After we will calculate the factors of 36354 and 36362 and find the biggest common factor number .

Step-1: Prime Factorization of 36354

Prime factors of 36354 are 2, 3, 73, 83. Prime factorization of 36354 in exponential form is:

36354 = 2¹ × 3¹ × 73¹ × 83¹

Step-2: Prime Factorization of 36362

Prime factors of 36362 are 2, 18181. Prime factorization of 36362 in exponential form is:

36362 = 2¹ × 18181¹

Step-3: Factors of 36354

List of positive integer factors of 36354 that divides 36354 without a remainder.

1, 2, 3, 6, 73, 83, 146, 166, 219, 249, 438, 498, 6059, 12118, 18177

Step-4: Factors of 36362

List of positive integer factors of 36362 that divides 36354 without a remainder.

1, 2, 18181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36354 and 36362. The biggest common factor number is the GCF number.
So the greatest common factor 36354 and 36362 is 2.

Also check out the Least Common Multiple of 36354 and 36362