What is the Greatest Common Factor of 29754 and 29769?

Greatest common factor (GCF) of 29754 and 29769 is 3.

GCF(29754,29769) = 3

We will now calculate the prime factors of 29754 and 29769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29754 and 29769.

How to find the GCF of 29754 and 29769?

We will first find the prime factorization of 29754 and 29769. After we will calculate the factors of 29754 and 29769 and find the biggest common factor number .

Step-1: Prime Factorization of 29754

Prime factors of 29754 are 2, 3, 19, 29. Prime factorization of 29754 in exponential form is:

29754 = 2¹ × 3³ × 19¹ × 29¹

Step-2: Prime Factorization of 29769

Prime factors of 29769 are 3, 9923. Prime factorization of 29769 in exponential form is:

29769 = 3¹ × 9923¹

Step-3: Factors of 29754

List of positive integer factors of 29754 that divides 29754 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 29, 38, 54, 57, 58, 87, 114, 171, 174, 261, 342, 513, 522, 551, 783, 1026, 1102, 1566, 1653, 3306, 4959, 9918, 14877

Step-4: Factors of 29769

List of positive integer factors of 29769 that divides 29754 without a remainder.

1, 3, 9923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29754 and 29769. The biggest common factor number is the GCF number.
So the greatest common factor 29754 and 29769 is 3.

Also check out the Least Common Multiple of 29754 and 29769