What is the Greatest Common Factor of 29028 and 29039?

Greatest common factor (GCF) of 29028 and 29039 is 1.

GCF(29028,29039) = 1

We will now calculate the prime factors of 29028 and 29039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29028 and 29039.

How to find the GCF of 29028 and 29039?

We will first find the prime factorization of 29028 and 29039. After we will calculate the factors of 29028 and 29039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29039

Prime factors of 29039 are 71, 409. Prime factorization of 29039 in exponential form is:

29039 = 71¹ × 409¹

Step-3: Factors of 29028

List of positive integer factors of 29028 that divides 29028 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

Step-4: Factors of 29039

List of positive integer factors of 29039 that divides 29028 without a remainder.

1, 71, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29028 and 29039. The biggest common factor number is the GCF number.
So the greatest common factor 29028 and 29039 is 1.

Also check out the Least Common Multiple of 29028 and 29039