What is the Greatest Common Factor of 29008 and 29026?

Greatest common factor (GCF) of 29008 and 29026 is 2.

GCF(29008,29026) = 2

We will now calculate the prime factors of 29008 and 29026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29008 and 29026.

How to find the GCF of 29008 and 29026?

We will first find the prime factorization of 29008 and 29026. After we will calculate the factors of 29008 and 29026 and find the biggest common factor number .

Step-1: Prime Factorization of 29008

Prime factors of 29008 are 2, 7, 37. Prime factorization of 29008 in exponential form is:

29008 = 2⁴ × 7² × 37¹

Step-2: Prime Factorization of 29026

Prime factors of 29026 are 2, 23, 631. Prime factorization of 29026 in exponential form is:

29026 = 2¹ × 23¹ × 631¹

Step-3: Factors of 29008

List of positive integer factors of 29008 that divides 29008 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 37, 49, 56, 74, 98, 112, 148, 196, 259, 296, 392, 518, 592, 784, 1036, 1813, 2072, 3626, 4144, 7252, 14504

Step-4: Factors of 29026

List of positive integer factors of 29026 that divides 29008 without a remainder.

1, 2, 23, 46, 631, 1262, 14513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29008 and 29026. The biggest common factor number is the GCF number.
So the greatest common factor 29008 and 29026 is 2.

Also check out the Least Common Multiple of 29008 and 29026