What is the Greatest Common Factor of 73002 and 73015?

Greatest common factor (GCF) of 73002 and 73015 is 1.

GCF(73002,73015) = 1

We will now calculate the prime factors of 73002 and 73015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73002 and 73015.

How to find the GCF of 73002 and 73015?

We will first find the prime factorization of 73002 and 73015. After we will calculate the factors of 73002 and 73015 and find the biggest common factor number .

Step-1: Prime Factorization of 73002

Prime factors of 73002 are 2, 3, 23. Prime factorization of 73002 in exponential form is:

73002 = 2¹ × 3¹ × 23³

Step-2: Prime Factorization of 73015

Prime factors of 73015 are 5, 17, 859. Prime factorization of 73015 in exponential form is:

73015 = 5¹ × 17¹ × 859¹

Step-3: Factors of 73002

List of positive integer factors of 73002 that divides 73002 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174, 12167, 24334, 36501

Step-4: Factors of 73015

List of positive integer factors of 73015 that divides 73002 without a remainder.

1, 5, 17, 85, 859, 4295, 14603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73002 and 73015. The biggest common factor number is the GCF number.
So the greatest common factor 73002 and 73015 is 1.

Also check out the Least Common Multiple of 73002 and 73015