What is the Greatest Common Factor of 29452 and 29458?

Greatest common factor (GCF) of 29452 and 29458 is 2.

GCF(29452,29458) = 2

We will now calculate the prime factors of 29452 and 29458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29452 and 29458.

How to find the GCF of 29452 and 29458?

We will first find the prime factorization of 29452 and 29458. After we will calculate the factors of 29452 and 29458 and find the biggest common factor number .

Step-1: Prime Factorization of 29452

Prime factors of 29452 are 2, 37, 199. Prime factorization of 29452 in exponential form is:

29452 = 2² × 37¹ × 199¹

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 29452

List of positive integer factors of 29452 that divides 29452 without a remainder.

1, 2, 4, 37, 74, 148, 199, 398, 796, 7363, 14726

Step-4: Factors of 29458

List of positive integer factors of 29458 that divides 29452 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 29452 and 29458. The biggest common factor number is the GCF number.
So the greatest common factor 29452 and 29458 is 2.

Also check out the Least Common Multiple of 29452 and 29458