What is the Greatest Common Factor of 33747 and 33761?

Greatest common factor (GCF) of 33747 and 33761 is 7.

GCF(33747,33761) = 7

We will now calculate the prime factors of 33747 and 33761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33747 and 33761.

How to find the GCF of 33747 and 33761?

We will first find the prime factorization of 33747 and 33761. After we will calculate the factors of 33747 and 33761 and find the biggest common factor number .

Step-1: Prime Factorization of 33747

Prime factors of 33747 are 3, 7, 1607. Prime factorization of 33747 in exponential form is:

33747 = 3¹ × 7¹ × 1607¹

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 33747

List of positive integer factors of 33747 that divides 33747 without a remainder.

1, 3, 7, 21, 1607, 4821, 11249

Step-4: Factors of 33761

List of positive integer factors of 33761 that divides 33747 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 33747 and 33761. The biggest common factor number is the GCF number.
So the greatest common factor 33747 and 33761 is 7.

Also check out the Least Common Multiple of 33747 and 33761