What is the Greatest Common Factor of 36463 and 36477?

Greatest common factor (GCF) of 36463 and 36477 is 7.

GCF(36463,36477) = 7

We will now calculate the prime factors of 36463 and 36477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36463 and 36477.

How to find the GCF of 36463 and 36477?

We will first find the prime factorization of 36463 and 36477. After we will calculate the factors of 36463 and 36477 and find the biggest common factor number .

Step-1: Prime Factorization of 36463

Prime factors of 36463 are 7, 5209. Prime factorization of 36463 in exponential form is:

36463 = 7¹ × 5209¹

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 36463

List of positive integer factors of 36463 that divides 36463 without a remainder.

1, 7, 5209

Step-4: Factors of 36477

List of positive integer factors of 36477 that divides 36463 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 36463 and 36477. The biggest common factor number is the GCF number.
So the greatest common factor 36463 and 36477 is 7.

Also check out the Least Common Multiple of 36463 and 36477