What is the Greatest Common Factor of 29452 and 29466?

Greatest common factor (GCF) of 29452 and 29466 is 2.

GCF(29452,29466) = 2

We will now calculate the prime factors of 29452 and 29466, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29452 and 29466.

How to find the GCF of 29452 and 29466?

We will first find the prime factorization of 29452 and 29466. After we will calculate the factors of 29452 and 29466 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 29466

Prime factors of 29466 are 2, 3, 1637. Prime factorization of 29466 in exponential form is:

29466 = 2¹ × 3² × 1637¹

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 29466

List of positive integer factors of 29466 that divides 29452 without a remainder.

1, 2, 3, 6, 9, 18, 1637, 3274, 4911, 9822, 14733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29452 and 29466. The biggest common factor number is the GCF number.
So the greatest common factor 29452 and 29466 is 2.

Also check out the Least Common Multiple of 29452 and 29466