What is the Greatest Common Factor of 32536 and 32540?

Greatest common factor (GCF) of 32536 and 32540 is 4.

GCF(32536,32540) = 4

We will now calculate the prime factors of 32536 and 32540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32536 and 32540.

How to find the GCF of 32536 and 32540?

We will first find the prime factorization of 32536 and 32540. After we will calculate the factors of 32536 and 32540 and find the biggest common factor number .

Step-1: Prime Factorization of 32536

Prime factors of 32536 are 2, 7, 83. Prime factorization of 32536 in exponential form is:

32536 = 2³ × 7² × 83¹

Step-2: Prime Factorization of 32540

Prime factors of 32540 are 2, 5, 1627. Prime factorization of 32540 in exponential form is:

32540 = 2² × 5¹ × 1627¹

Step-3: Factors of 32536

List of positive integer factors of 32536 that divides 32536 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 83, 98, 166, 196, 332, 392, 581, 664, 1162, 2324, 4067, 4648, 8134, 16268

Step-4: Factors of 32540

List of positive integer factors of 32540 that divides 32536 without a remainder.

1, 2, 4, 5, 10, 20, 1627, 3254, 6508, 8135, 16270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32536 and 32540. The biggest common factor number is the GCF number.
So the greatest common factor 32536 and 32540 is 4.

Also check out the Least Common Multiple of 32536 and 32540