What is the Greatest Common Factor of 33754 and 33761?

Greatest common factor (GCF) of 33754 and 33761 is 7.

GCF(33754,33761) = 7

We will now calculate the prime factors of 33754 and 33761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33754 and 33761.

How to find the GCF of 33754 and 33761?

We will first find the prime factorization of 33754 and 33761. After we will calculate the factors of 33754 and 33761 and find the biggest common factor number .

Step-1: Prime Factorization of 33754

Prime factors of 33754 are 2, 7, 2411. Prime factorization of 33754 in exponential form is:

33754 = 2¹ × 7¹ × 2411¹

Step-2: Prime Factorization of 33761

Prime factors of 33761 are 7, 13, 53. Prime factorization of 33761 in exponential form is:

33761 = 7² × 13¹ × 53¹

Step-3: Factors of 33754

List of positive integer factors of 33754 that divides 33754 without a remainder.

1, 2, 7, 14, 2411, 4822, 16877

Step-4: Factors of 33761

List of positive integer factors of 33761 that divides 33754 without a remainder.

1, 7, 13, 49, 53, 91, 371, 637, 689, 2597, 4823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33754 and 33761. The biggest common factor number is the GCF number.
So the greatest common factor 33754 and 33761 is 7.

Also check out the Least Common Multiple of 33754 and 33761