What is the Greatest Common Factor of 29214 and 29228?

Greatest common factor (GCF) of 29214 and 29228 is 2.

GCF(29214,29228) = 2

We will now calculate the prime factors of 29214 and 29228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29214 and 29228.

How to find the GCF of 29214 and 29228?

We will first find the prime factorization of 29214 and 29228. After we will calculate the factors of 29214 and 29228 and find the biggest common factor number .

Step-1: Prime Factorization of 29214

Prime factors of 29214 are 2, 3, 541. Prime factorization of 29214 in exponential form is:

29214 = 2¹ × 3³ × 541¹

Step-2: Prime Factorization of 29228

Prime factors of 29228 are 2, 7307. Prime factorization of 29228 in exponential form is:

29228 = 2² × 7307¹

Step-3: Factors of 29214

List of positive integer factors of 29214 that divides 29214 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 541, 1082, 1623, 3246, 4869, 9738, 14607

Step-4: Factors of 29228

List of positive integer factors of 29228 that divides 29214 without a remainder.

1, 2, 4, 7307, 14614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29214 and 29228. The biggest common factor number is the GCF number.
So the greatest common factor 29214 and 29228 is 2.

Also check out the Least Common Multiple of 29214 and 29228