What is the Greatest Common Factor of 29008 and 29022?

Greatest common factor (GCF) of 29008 and 29022 is 14.

GCF(29008,29022) = 14

We will now calculate the prime factors of 29008 and 29022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29008 and 29022.

How to find the GCF of 29008 and 29022?

We will first find the prime factorization of 29008 and 29022. After we will calculate the factors of 29008 and 29022 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 29022

Prime factors of 29022 are 2, 3, 7, 691. Prime factorization of 29022 in exponential form is:

29022 = 2¹ × 3¹ × 7¹ × 691¹

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 29022

List of positive integer factors of 29022 that divides 29008 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 691, 1382, 2073, 4146, 4837, 9674, 14511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29008 and 29022. The biggest common factor number is the GCF number.
So the greatest common factor 29008 and 29022 is 14.

Also check out the Least Common Multiple of 29008 and 29022