What is the Greatest Common Factor of 33943 and 33956?

Greatest common factor (GCF) of 33943 and 33956 is 13.

GCF(33943,33956) = 13

We will now calculate the prime factors of 33943 and 33956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33943 and 33956.

How to find the GCF of 33943 and 33956?

We will first find the prime factorization of 33943 and 33956. After we will calculate the factors of 33943 and 33956 and find the biggest common factor number .

Step-1: Prime Factorization of 33943

Prime factors of 33943 are 7, 13, 373. Prime factorization of 33943 in exponential form is:

33943 = 7¹ × 13¹ × 373¹

Step-2: Prime Factorization of 33956

Prime factors of 33956 are 2, 13, 653. Prime factorization of 33956 in exponential form is:

33956 = 2² × 13¹ × 653¹

Step-3: Factors of 33943

List of positive integer factors of 33943 that divides 33943 without a remainder.

1, 7, 13, 91, 373, 2611, 4849

Step-4: Factors of 33956

List of positive integer factors of 33956 that divides 33943 without a remainder.

1, 2, 4, 13, 26, 52, 653, 1306, 2612, 8489, 16978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33943 and 33956. The biggest common factor number is the GCF number.
So the greatest common factor 33943 and 33956 is 13.

Also check out the Least Common Multiple of 33943 and 33956