What is the Greatest Common Factor of 82072 and 82079?

Greatest common factor (GCF) of 82072 and 82079 is 1.

GCF(82072,82079) = 1

We will now calculate the prime factors of 82072 and 82079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82072 and 82079.

How to find the GCF of 82072 and 82079?

We will first find the prime factorization of 82072 and 82079. After we will calculate the factors of 82072 and 82079 and find the biggest common factor number .

Step-1: Prime Factorization of 82072

Prime factors of 82072 are 2, 10259. Prime factorization of 82072 in exponential form is:

82072 = 2³ × 10259¹

Step-2: Prime Factorization of 82079

Prime factors of 82079 are 211, 389. Prime factorization of 82079 in exponential form is:

82079 = 211¹ × 389¹

Step-3: Factors of 82072

List of positive integer factors of 82072 that divides 82072 without a remainder.

1, 2, 4, 8, 10259, 20518, 41036

Step-4: Factors of 82079

List of positive integer factors of 82079 that divides 82072 without a remainder.

1, 211, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82072 and 82079. The biggest common factor number is the GCF number.
So the greatest common factor 82072 and 82079 is 1.

Also check out the Least Common Multiple of 82072 and 82079