What is the Greatest Common Factor of 36496 and 36503?

Greatest common factor (GCF) of 36496 and 36503 is 1.

GCF(36496,36503) = 1

We will now calculate the prime factors of 36496 and 36503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36496 and 36503.

How to find the GCF of 36496 and 36503?

We will first find the prime factorization of 36496 and 36503. After we will calculate the factors of 36496 and 36503 and find the biggest common factor number .

Step-1: Prime Factorization of 36496

Prime factors of 36496 are 2, 2281. Prime factorization of 36496 in exponential form is:

36496 = 2⁴ × 2281¹

Step-2: Prime Factorization of 36503

Prime factors of 36503 are 173, 211. Prime factorization of 36503 in exponential form is:

36503 = 173¹ × 211¹

Step-3: Factors of 36496

List of positive integer factors of 36496 that divides 36496 without a remainder.

1, 2, 4, 8, 16, 2281, 4562, 9124, 18248

Step-4: Factors of 36503

List of positive integer factors of 36503 that divides 36496 without a remainder.

1, 173, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36496 and 36503. The biggest common factor number is the GCF number.
So the greatest common factor 36496 and 36503 is 1.

Also check out the Least Common Multiple of 36496 and 36503