What is the Greatest Common Factor of 33774 and 33787?

Greatest common factor (GCF) of 33774 and 33787 is 13.

GCF(33774,33787) = 13

We will now calculate the prime factors of 33774 and 33787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33774 and 33787.

How to find the GCF of 33774 and 33787?

We will first find the prime factorization of 33774 and 33787. After we will calculate the factors of 33774 and 33787 and find the biggest common factor number .

Step-1: Prime Factorization of 33774

Prime factors of 33774 are 2, 3, 13, 433. Prime factorization of 33774 in exponential form is:

33774 = 2¹ × 3¹ × 13¹ × 433¹

Step-2: Prime Factorization of 33787

Prime factors of 33787 are 13, 23, 113. Prime factorization of 33787 in exponential form is:

33787 = 13¹ × 23¹ × 113¹

Step-3: Factors of 33774

List of positive integer factors of 33774 that divides 33774 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 433, 866, 1299, 2598, 5629, 11258, 16887

Step-4: Factors of 33787

List of positive integer factors of 33787 that divides 33774 without a remainder.

1, 13, 23, 113, 299, 1469, 2599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33774 and 33787. The biggest common factor number is the GCF number.
So the greatest common factor 33774 and 33787 is 13.

Also check out the Least Common Multiple of 33774 and 33787