What is the Greatest Common Factor of 29634 and 29642?

Greatest common factor (GCF) of 29634 and 29642 is 2.

GCF(29634,29642) = 2

We will now calculate the prime factors of 29634 and 29642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29634 and 29642.

How to find the GCF of 29634 and 29642?

We will first find the prime factorization of 29634 and 29642. After we will calculate the factors of 29634 and 29642 and find the biggest common factor number .

Step-1: Prime Factorization of 29634

Prime factors of 29634 are 2, 3, 11, 449. Prime factorization of 29634 in exponential form is:

29634 = 2¹ × 3¹ × 11¹ × 449¹

Step-2: Prime Factorization of 29642

Prime factors of 29642 are 2, 14821. Prime factorization of 29642 in exponential form is:

29642 = 2¹ × 14821¹

Step-3: Factors of 29634

List of positive integer factors of 29634 that divides 29634 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 449, 898, 1347, 2694, 4939, 9878, 14817

Step-4: Factors of 29642

List of positive integer factors of 29642 that divides 29634 without a remainder.

1, 2, 14821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29634 and 29642. The biggest common factor number is the GCF number.
So the greatest common factor 29634 and 29642 is 2.

Also check out the Least Common Multiple of 29634 and 29642