What is the Greatest Common Factor of 29458 and 29472?

Greatest common factor (GCF) of 29458 and 29472 is 2.

GCF(29458,29472) = 2

We will now calculate the prime factors of 29458 and 29472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29458 and 29472.

How to find the GCF of 29458 and 29472?

We will first find the prime factorization of 29458 and 29472. After we will calculate the factors of 29458 and 29472 and find the biggest common factor number .

Step-1: Prime Factorization of 29458

Prime factors of 29458 are 2, 11, 13, 103. Prime factorization of 29458 in exponential form is:

29458 = 2¹ × 11¹ × 13¹ × 103¹

Step-2: Prime Factorization of 29472

Prime factors of 29472 are 2, 3, 307. Prime factorization of 29472 in exponential form is:

29472 = 2⁵ × 3¹ × 307¹

Step-3: Factors of 29458

List of positive integer factors of 29458 that divides 29458 without a remainder.

1, 2, 11, 13, 22, 26, 103, 143, 206, 286, 1133, 1339, 2266, 2678, 14729

Step-4: Factors of 29472

List of positive integer factors of 29472 that divides 29458 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 9824, 14736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29458 and 29472. The biggest common factor number is the GCF number.
So the greatest common factor 29458 and 29472 is 2.

Also check out the Least Common Multiple of 29458 and 29472