What is the Greatest Common Factor of 73004 and 73021?

Greatest common factor (GCF) of 73004 and 73021 is 1.

GCF(73004,73021) = 1

We will now calculate the prime factors of 73004 and 73021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73004 and 73021.

How to find the GCF of 73004 and 73021?

We will first find the prime factorization of 73004 and 73021. After we will calculate the factors of 73004 and 73021 and find the biggest common factor number .

Step-1: Prime Factorization of 73004

Prime factors of 73004 are 2, 18251. Prime factorization of 73004 in exponential form is:

73004 = 2² × 18251¹

Step-2: Prime Factorization of 73021

Prime factors of 73021 are 13, 41, 137. Prime factorization of 73021 in exponential form is:

73021 = 13¹ × 41¹ × 137¹

Step-3: Factors of 73004

List of positive integer factors of 73004 that divides 73004 without a remainder.

1, 2, 4, 18251, 36502

Step-4: Factors of 73021

List of positive integer factors of 73021 that divides 73004 without a remainder.

1, 13, 41, 137, 533, 1781, 5617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73004 and 73021. The biggest common factor number is the GCF number.
So the greatest common factor 73004 and 73021 is 1.

Also check out the Least Common Multiple of 73004 and 73021