What is the Greatest Common Factor of 72991 and 73005?

Greatest common factor (GCF) of 72991 and 73005 is 1.

GCF(72991,73005) = 1

We will now calculate the prime factors of 72991 and 73005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72991 and 73005.

How to find the GCF of 72991 and 73005?

We will first find the prime factorization of 72991 and 73005. After we will calculate the factors of 72991 and 73005 and find the biggest common factor number .

Step-1: Prime Factorization of 72991

Prime factors of 72991 are 47, 1553. Prime factorization of 72991 in exponential form is:

72991 = 47¹ × 1553¹

Step-2: Prime Factorization of 73005

Prime factors of 73005 are 3, 5, 31, 157. Prime factorization of 73005 in exponential form is:

73005 = 3¹ × 5¹ × 31¹ × 157¹

Step-3: Factors of 72991

List of positive integer factors of 72991 that divides 72991 without a remainder.

1, 47, 1553

Step-4: Factors of 73005

List of positive integer factors of 73005 that divides 72991 without a remainder.

1, 3, 5, 15, 31, 93, 155, 157, 465, 471, 785, 2355, 4867, 14601, 24335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72991 and 73005. The biggest common factor number is the GCF number.
So the greatest common factor 72991 and 73005 is 1.

Also check out the Least Common Multiple of 72991 and 73005