What is the Greatest Common Factor of 29764 and 29778?

Greatest common factor (GCF) of 29764 and 29778 is 14.

GCF(29764,29778) = 14

We will now calculate the prime factors of 29764 and 29778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29764 and 29778.

How to find the GCF of 29764 and 29778?

We will first find the prime factorization of 29764 and 29778. After we will calculate the factors of 29764 and 29778 and find the biggest common factor number .

Step-1: Prime Factorization of 29764

Prime factors of 29764 are 2, 7, 1063. Prime factorization of 29764 in exponential form is:

29764 = 2² × 7¹ × 1063¹

Step-2: Prime Factorization of 29778

Prime factors of 29778 are 2, 3, 7, 709. Prime factorization of 29778 in exponential form is:

29778 = 2¹ × 3¹ × 7¹ × 709¹

Step-3: Factors of 29764

List of positive integer factors of 29764 that divides 29764 without a remainder.

1, 2, 4, 7, 14, 28, 1063, 2126, 4252, 7441, 14882

Step-4: Factors of 29778

List of positive integer factors of 29778 that divides 29764 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 709, 1418, 2127, 4254, 4963, 9926, 14889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29764 and 29778. The biggest common factor number is the GCF number.
So the greatest common factor 29764 and 29778 is 14.

Also check out the Least Common Multiple of 29764 and 29778