What is the Greatest Common Factor of 29002 and 29013?

Greatest common factor (GCF) of 29002 and 29013 is 1.

GCF(29002,29013) = 1

We will now calculate the prime factors of 29002 and 29013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29002 and 29013.

How to find the GCF of 29002 and 29013?

We will first find the prime factorization of 29002 and 29013. After we will calculate the factors of 29002 and 29013 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29013

Prime factors of 29013 are 3, 19, 509. Prime factorization of 29013 in exponential form is:

29013 = 3¹ × 19¹ × 509¹

Step-3: Factors of 29002

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

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

Step-4: Factors of 29013

List of positive integer factors of 29013 that divides 29002 without a remainder.

1, 3, 19, 57, 509, 1527, 9671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29002 and 29013. The biggest common factor number is the GCF number.
So the greatest common factor 29002 and 29013 is 1.

Also check out the Least Common Multiple of 29002 and 29013