What is the Greatest Common Factor of 36456 and 36463?

Greatest common factor (GCF) of 36456 and 36463 is 7.

GCF(36456,36463) = 7

We will now calculate the prime factors of 36456 and 36463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36456 and 36463.

How to find the GCF of 36456 and 36463?

We will first find the prime factorization of 36456 and 36463. After we will calculate the factors of 36456 and 36463 and find the biggest common factor number .

Step-1: Prime Factorization of 36456

Prime factors of 36456 are 2, 3, 7, 31. Prime factorization of 36456 in exponential form is:

36456 = 2³ × 3¹ × 7² × 31¹

Step-2: Prime Factorization of 36463

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

36463 = 7¹ × 5209¹

Step-3: Factors of 36456

List of positive integer factors of 36456 that divides 36456 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 31, 42, 49, 56, 62, 84, 93, 98, 124, 147, 168, 186, 196, 217, 248, 294, 372, 392, 434, 588, 651, 744, 868, 1176, 1302, 1519, 1736, 2604, 3038, 4557, 5208, 6076, 9114, 12152, 18228

Step-4: Factors of 36463

List of positive integer factors of 36463 that divides 36456 without a remainder.

1, 7, 5209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36456 and 36463. The biggest common factor number is the GCF number.
So the greatest common factor 36456 and 36463 is 7.

Also check out the Least Common Multiple of 36456 and 36463