What is the Greatest Common Factor of 72068 and 72079?

Greatest common factor (GCF) of 72068 and 72079 is 1.

GCF(72068,72079) = 1

We will now calculate the prime factors of 72068 and 72079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72068 and 72079.

How to find the GCF of 72068 and 72079?

We will first find the prime factorization of 72068 and 72079. After we will calculate the factors of 72068 and 72079 and find the biggest common factor number .

Step-1: Prime Factorization of 72068

Prime factors of 72068 are 2, 43, 419. Prime factorization of 72068 in exponential form is:

72068 = 2² × 43¹ × 419¹

Step-2: Prime Factorization of 72079

Prime factors of 72079 are 7, 1471. Prime factorization of 72079 in exponential form is:

72079 = 7² × 1471¹

Step-3: Factors of 72068

List of positive integer factors of 72068 that divides 72068 without a remainder.

1, 2, 4, 43, 86, 172, 419, 838, 1676, 18017, 36034

Step-4: Factors of 72079

List of positive integer factors of 72079 that divides 72068 without a remainder.

1, 7, 49, 1471, 10297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72068 and 72079. The biggest common factor number is the GCF number.
So the greatest common factor 72068 and 72079 is 1.

Also check out the Least Common Multiple of 72068 and 72079