What is the Greatest Common Factor of 536 and 540?

Greatest common factor (GCF) of 536 and 540 is 4.

GCF(536,540) = 4

We will now calculate the prime factors of 536 and 540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 536 and 540.

How to find the GCF of 536 and 540?

We will first find the prime factorization of 536 and 540. After we will calculate the factors of 536 and 540 and find the biggest common factor number .

Step-1: Prime Factorization of 536

Prime factors of 536 are 2, 67. Prime factorization of 536 in exponential form is:

536 = 2³ × 67¹

Step-2: Prime Factorization of 540

Prime factors of 540 are 2, 3, 5. Prime factorization of 540 in exponential form is:

540 = 2² × 3³ × 5¹

Step-3: Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268

Step-4: Factors of 540

List of positive integer factors of 540 that divides 536 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 536 and 540. The biggest common factor number is the GCF number.
So the greatest common factor 536 and 540 is 4.

Also check out the Least Common Multiple of 536 and 540