What is the Greatest Common Factor of 72987 and 73005?

Greatest common factor (GCF) of 72987 and 73005 is 3.

GCF(72987,73005) = 3

We will now calculate the prime factors of 72987 and 73005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72987 and 73005.

How to find the GCF of 72987 and 73005?

We will first find the prime factorization of 72987 and 73005. After we will calculate the factors of 72987 and 73005 and find the biggest common factor number .

Step-1: Prime Factorization of 72987

Prime factors of 72987 are 3, 24329. Prime factorization of 72987 in exponential form is:

72987 = 3¹ × 24329¹

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 72987

List of positive integer factors of 72987 that divides 72987 without a remainder.

1, 3, 24329

Step-4: Factors of 73005

List of positive integer factors of 73005 that divides 72987 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 72987 and 73005. The biggest common factor number is the GCF number.
So the greatest common factor 72987 and 73005 is 3.

Also check out the Least Common Multiple of 72987 and 73005