What is the Greatest Common Factor of 29014 and 29028?

Greatest common factor (GCF) of 29014 and 29028 is 2.

GCF(29014,29028) = 2

We will now calculate the prime factors of 29014 and 29028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29014 and 29028.

How to find the GCF of 29014 and 29028?

We will first find the prime factorization of 29014 and 29028. After we will calculate the factors of 29014 and 29028 and find the biggest common factor number .

Step-1: Prime Factorization of 29014

Prime factors of 29014 are 2, 89, 163. Prime factorization of 29014 in exponential form is:

29014 = 2¹ × 89¹ × 163¹

Step-2: Prime Factorization of 29028

Prime factors of 29028 are 2, 3, 41, 59. Prime factorization of 29028 in exponential form is:

29028 = 2² × 3¹ × 41¹ × 59¹

Step-3: Factors of 29014

List of positive integer factors of 29014 that divides 29014 without a remainder.

1, 2, 89, 163, 178, 326, 14507

Step-4: Factors of 29028

List of positive integer factors of 29028 that divides 29014 without a remainder.

1, 2, 3, 4, 6, 12, 41, 59, 82, 118, 123, 164, 177, 236, 246, 354, 492, 708, 2419, 4838, 7257, 9676, 14514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29014 and 29028. The biggest common factor number is the GCF number.
So the greatest common factor 29014 and 29028 is 2.

Also check out the Least Common Multiple of 29014 and 29028