What is the Greatest Common Factor of 29448 and 29458?

Greatest common factor (GCF) of 29448 and 29458 is 2.

GCF(29448,29458) = 2

We will now calculate the prime factors of 29448 and 29458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29448 and 29458.

How to find the GCF of 29448 and 29458?

We will first find the prime factorization of 29448 and 29458. After we will calculate the factors of 29448 and 29458 and find the biggest common factor number .

Step-1: Prime Factorization of 29448

Prime factors of 29448 are 2, 3, 409. Prime factorization of 29448 in exponential form is:

29448 = 2³ × 3² × 409¹

Step-2: 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-3: Factors of 29448

List of positive integer factors of 29448 that divides 29448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 409, 818, 1227, 1636, 2454, 3272, 3681, 4908, 7362, 9816, 14724

Step-4: Factors of 29458

List of positive integer factors of 29458 that divides 29448 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29448 and 29458. The biggest common factor number is the GCF number.
So the greatest common factor 29448 and 29458 is 2.

Also check out the Least Common Multiple of 29448 and 29458