What is the Greatest Common Factor of 72067 and 72086?

Greatest common factor (GCF) of 72067 and 72086 is 19.

GCF(72067,72086) = 19

We will now calculate the prime factors of 72067 and 72086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72067 and 72086.

How to find the GCF of 72067 and 72086?

We will first find the prime factorization of 72067 and 72086. After we will calculate the factors of 72067 and 72086 and find the biggest common factor number .

Step-1: Prime Factorization of 72067

Prime factors of 72067 are 19, 3793. Prime factorization of 72067 in exponential form is:

72067 = 19¹ × 3793¹

Step-2: Prime Factorization of 72086

Prime factors of 72086 are 2, 7, 19, 271. Prime factorization of 72086 in exponential form is:

72086 = 2¹ × 7¹ × 19¹ × 271¹

Step-3: Factors of 72067

List of positive integer factors of 72067 that divides 72067 without a remainder.

1, 19, 3793

Step-4: Factors of 72086

List of positive integer factors of 72086 that divides 72067 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 271, 542, 1897, 3794, 5149, 10298, 36043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72067 and 72086. The biggest common factor number is the GCF number.
So the greatest common factor 72067 and 72086 is 19.

Also check out the Least Common Multiple of 72067 and 72086