What is the Greatest Common Factor of 17536 and 17540?

Greatest common factor (GCF) of 17536 and 17540 is 4.

GCF(17536,17540) = 4

We will now calculate the prime factors of 17536 and 17540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17536 and 17540.

How to find the GCF of 17536 and 17540?

We will first find the prime factorization of 17536 and 17540. After we will calculate the factors of 17536 and 17540 and find the biggest common factor number .

Step-1: Prime Factorization of 17536

Prime factors of 17536 are 2, 137. Prime factorization of 17536 in exponential form is:

17536 = 2⁷ × 137¹

Step-2: Prime Factorization of 17540

Prime factors of 17540 are 2, 5, 877. Prime factorization of 17540 in exponential form is:

17540 = 2² × 5¹ × 877¹

Step-3: Factors of 17536

List of positive integer factors of 17536 that divides 17536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 137, 274, 548, 1096, 2192, 4384, 8768

Step-4: Factors of 17540

List of positive integer factors of 17540 that divides 17536 without a remainder.

1, 2, 4, 5, 10, 20, 877, 1754, 3508, 4385, 8770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17536 and 17540. The biggest common factor number is the GCF number.
So the greatest common factor 17536 and 17540 is 4.

Also check out the Least Common Multiple of 17536 and 17540