What is the Greatest Common Factor of 33536 and 33540?

Greatest common factor (GCF) of 33536 and 33540 is 4.

GCF(33536,33540) = 4

We will now calculate the prime factors of 33536 and 33540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33536 and 33540.

How to find the GCF of 33536 and 33540?

We will first find the prime factorization of 33536 and 33540. After we will calculate the factors of 33536 and 33540 and find the biggest common factor number .

Step-1: Prime Factorization of 33536

Prime factors of 33536 are 2, 131. Prime factorization of 33536 in exponential form is:

33536 = 2⁸ × 131¹

Step-2: Prime Factorization of 33540

Prime factors of 33540 are 2, 3, 5, 13, 43. Prime factorization of 33540 in exponential form is:

33540 = 2² × 3¹ × 5¹ × 13¹ × 43¹

Step-3: Factors of 33536

List of positive integer factors of 33536 that divides 33536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 131, 256, 262, 524, 1048, 2096, 4192, 8384, 16768

Step-4: Factors of 33540

List of positive integer factors of 33540 that divides 33536 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 43, 52, 60, 65, 78, 86, 129, 130, 156, 172, 195, 215, 258, 260, 390, 430, 516, 559, 645, 780, 860, 1118, 1290, 1677, 2236, 2580, 2795, 3354, 5590, 6708, 8385, 11180, 16770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33536 and 33540. The biggest common factor number is the GCF number.
So the greatest common factor 33536 and 33540 is 4.

Also check out the Least Common Multiple of 33536 and 33540