What is the Greatest Common Factor of 28985 and 29002?

Greatest common factor (GCF) of 28985 and 29002 is 17.

GCF(28985,29002) = 17

We will now calculate the prime factors of 28985 and 29002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28985 and 29002.

How to find the GCF of 28985 and 29002?

We will first find the prime factorization of 28985 and 29002. After we will calculate the factors of 28985 and 29002 and find the biggest common factor number .

Step-1: Prime Factorization of 28985

Prime factors of 28985 are 5, 11, 17, 31. Prime factorization of 28985 in exponential form is:

28985 = 5¹ × 11¹ × 17¹ × 31¹

Step-2: Prime Factorization of 29002

Prime factors of 29002 are 2, 17, 853. Prime factorization of 29002 in exponential form is:

29002 = 2¹ × 17¹ × 853¹

Step-3: Factors of 28985

List of positive integer factors of 28985 that divides 28985 without a remainder.

1, 5, 11, 17, 31, 55, 85, 155, 187, 341, 527, 935, 1705, 2635, 5797

Step-4: Factors of 29002

List of positive integer factors of 29002 that divides 28985 without a remainder.

1, 2, 17, 34, 853, 1706, 14501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28985 and 29002. The biggest common factor number is the GCF number.
So the greatest common factor 28985 and 29002 is 17.

Also check out the Least Common Multiple of 28985 and 29002