What is the Greatest Common Factor of 29458 and 29464?

Greatest common factor (GCF) of 29458 and 29464 is 2.

GCF(29458,29464) = 2

We will now calculate the prime factors of 29458 and 29464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29458 and 29464.

How to find the GCF of 29458 and 29464?

We will first find the prime factorization of 29458 and 29464. After we will calculate the factors of 29458 and 29464 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 29464

Prime factors of 29464 are 2, 29, 127. Prime factorization of 29464 in exponential form is:

29464 = 2³ × 29¹ × 127¹

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 29464

List of positive integer factors of 29464 that divides 29458 without a remainder.

1, 2, 4, 8, 29, 58, 116, 127, 232, 254, 508, 1016, 3683, 7366, 14732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29458 and 29464. The biggest common factor number is the GCF number.
So the greatest common factor 29458 and 29464 is 2.

Also check out the Least Common Multiple of 29458 and 29464