What is the Greatest Common Factor of 73010 and 73029?

Greatest common factor (GCF) of 73010 and 73029 is 1.

GCF(73010,73029) = 1

We will now calculate the prime factors of 73010 and 73029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73010 and 73029.

How to find the GCF of 73010 and 73029?

We will first find the prime factorization of 73010 and 73029. After we will calculate the factors of 73010 and 73029 and find the biggest common factor number .

Step-1: Prime Factorization of 73010

Prime factors of 73010 are 2, 5, 7, 149. Prime factorization of 73010 in exponential form is:

73010 = 2¹ × 5¹ × 7² × 149¹

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 73010

List of positive integer factors of 73010 that divides 73010 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 149, 245, 298, 490, 745, 1043, 1490, 2086, 5215, 7301, 10430, 14602, 36505

Step-4: Factors of 73029

List of positive integer factors of 73029 that divides 73010 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73010 and 73029. The biggest common factor number is the GCF number.
So the greatest common factor 73010 and 73029 is 1.

Also check out the Least Common Multiple of 73010 and 73029