What is the Greatest Common Factor of 29768 and 29782?

Greatest common factor (GCF) of 29768 and 29782 is 2.

GCF(29768,29782) = 2

We will now calculate the prime factors of 29768 and 29782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29768 and 29782.

How to find the GCF of 29768 and 29782?

We will first find the prime factorization of 29768 and 29782. After we will calculate the factors of 29768 and 29782 and find the biggest common factor number .

Step-1: Prime Factorization of 29768

Prime factors of 29768 are 2, 61. Prime factorization of 29768 in exponential form is:

29768 = 2³ × 61²

Step-2: Prime Factorization of 29782

Prime factors of 29782 are 2, 14891. Prime factorization of 29782 in exponential form is:

29782 = 2¹ × 14891¹

Step-3: Factors of 29768

List of positive integer factors of 29768 that divides 29768 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488, 3721, 7442, 14884

Step-4: Factors of 29782

List of positive integer factors of 29782 that divides 29768 without a remainder.

1, 2, 14891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29768 and 29782. The biggest common factor number is the GCF number.
So the greatest common factor 29768 and 29782 is 2.

Also check out the Least Common Multiple of 29768 and 29782