What is the Greatest Common Factor of 34749 and 34754?

Greatest common factor (GCF) of 34749 and 34754 is 1.

GCF(34749,34754) = 1

We will now calculate the prime factors of 34749 and 34754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34749 and 34754.

How to find the GCF of 34749 and 34754?

We will first find the prime factorization of 34749 and 34754. After we will calculate the factors of 34749 and 34754 and find the biggest common factor number .

Step-1: Prime Factorization of 34749

Prime factors of 34749 are 3, 11, 13. Prime factorization of 34749 in exponential form is:

34749 = 3⁵ × 11¹ × 13¹

Step-2: Prime Factorization of 34754

Prime factors of 34754 are 2, 17377. Prime factorization of 34754 in exponential form is:

34754 = 2¹ × 17377¹

Step-3: Factors of 34749

List of positive integer factors of 34749 that divides 34749 without a remainder.

1, 3, 9, 11, 13, 27, 33, 39, 81, 99, 117, 143, 243, 297, 351, 429, 891, 1053, 1287, 2673, 3159, 3861, 11583

Step-4: Factors of 34754

List of positive integer factors of 34754 that divides 34749 without a remainder.

1, 2, 17377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34749 and 34754. The biggest common factor number is the GCF number.
So the greatest common factor 34749 and 34754 is 1.

Also check out the Least Common Multiple of 34749 and 34754