What is the Greatest Common Factor of 33117 and 33131?

Greatest common factor (GCF) of 33117 and 33131 is 7.

GCF(33117,33131) = 7

We will now calculate the prime factors of 33117 and 33131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33117 and 33131.

How to find the GCF of 33117 and 33131?

We will first find the prime factorization of 33117 and 33131. After we will calculate the factors of 33117 and 33131 and find the biggest common factor number .

Step-1: Prime Factorization of 33117

Prime factors of 33117 are 3, 7, 19, 83. Prime factorization of 33117 in exponential form is:

33117 = 3¹ × 7¹ × 19¹ × 83¹

Step-2: Prime Factorization of 33131

Prime factors of 33131 are 7, 4733. Prime factorization of 33131 in exponential form is:

33131 = 7¹ × 4733¹

Step-3: Factors of 33117

List of positive integer factors of 33117 that divides 33117 without a remainder.

1, 3, 7, 19, 21, 57, 83, 133, 249, 399, 581, 1577, 1743, 4731, 11039

Step-4: Factors of 33131

List of positive integer factors of 33131 that divides 33117 without a remainder.

1, 7, 4733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33117 and 33131. The biggest common factor number is the GCF number.
So the greatest common factor 33117 and 33131 is 7.

Also check out the Least Common Multiple of 33117 and 33131