What is the Greatest Common Factor of 33540 and 33546?

Greatest common factor (GCF) of 33540 and 33546 is 6.

GCF(33540,33546) = 6

We will now calculate the prime factors of 33540 and 33546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33540 and 33546.

How to find the GCF of 33540 and 33546?

We will first find the prime factorization of 33540 and 33546. After we will calculate the factors of 33540 and 33546 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33546

Prime factors of 33546 are 2, 3, 5591. Prime factorization of 33546 in exponential form is:

33546 = 2¹ × 3¹ × 5591¹

Step-3: Factors of 33540

List of positive integer factors of 33540 that divides 33540 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

Step-4: Factors of 33546

List of positive integer factors of 33546 that divides 33540 without a remainder.

1, 2, 3, 6, 5591, 11182, 16773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33540 and 33546. The biggest common factor number is the GCF number.
So the greatest common factor 33540 and 33546 is 6.

Also check out the Least Common Multiple of 33540 and 33546