What is the Greatest Common Factor of 36462 and 36477?

Greatest common factor (GCF) of 36462 and 36477 is 3.

GCF(36462,36477) = 3

We will now calculate the prime factors of 36462 and 36477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36462 and 36477.

How to find the GCF of 36462 and 36477?

We will first find the prime factorization of 36462 and 36477. After we will calculate the factors of 36462 and 36477 and find the biggest common factor number .

Step-1: Prime Factorization of 36462

Prime factors of 36462 are 2, 3, 59, 103. Prime factorization of 36462 in exponential form is:

36462 = 2¹ × 3¹ × 59¹ × 103¹

Step-2: Prime Factorization of 36477

Prime factors of 36477 are 3, 7, 193. Prime factorization of 36477 in exponential form is:

36477 = 3³ × 7¹ × 193¹

Step-3: Factors of 36462

List of positive integer factors of 36462 that divides 36462 without a remainder.

1, 2, 3, 6, 59, 103, 118, 177, 206, 309, 354, 618, 6077, 12154, 18231

Step-4: Factors of 36477

List of positive integer factors of 36477 that divides 36462 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 193, 579, 1351, 1737, 4053, 5211, 12159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36462 and 36477. The biggest common factor number is the GCF number.
So the greatest common factor 36462 and 36477 is 3.

Also check out the Least Common Multiple of 36462 and 36477