What is the Greatest Common Factor of 73018 and 73029?

Greatest common factor (GCF) of 73018 and 73029 is 11.

GCF(73018,73029) = 11

We will now calculate the prime factors of 73018 and 73029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73018 and 73029.

How to find the GCF of 73018 and 73029?

We will first find the prime factorization of 73018 and 73029. After we will calculate the factors of 73018 and 73029 and find the biggest common factor number .

Step-1: Prime Factorization of 73018

Prime factors of 73018 are 2, 11, 3319. Prime factorization of 73018 in exponential form is:

73018 = 2¹ × 11¹ × 3319¹

Step-2: Prime Factorization of 73029

Prime factors of 73029 are 3, 11, 2213. Prime factorization of 73029 in exponential form is:

73029 = 3¹ × 11¹ × 2213¹

Step-3: Factors of 73018

List of positive integer factors of 73018 that divides 73018 without a remainder.

1, 2, 11, 22, 3319, 6638, 36509

Step-4: Factors of 73029

List of positive integer factors of 73029 that divides 73018 without a remainder.

1, 3, 11, 33, 2213, 6639, 24343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73018 and 73029. The biggest common factor number is the GCF number.
So the greatest common factor 73018 and 73029 is 11.

Also check out the Least Common Multiple of 73018 and 73029