What is the Greatest Common Factor of 82068 and 82072?

Greatest common factor (GCF) of 82068 and 82072 is 4.

GCF(82068,82072) = 4

We will now calculate the prime factors of 82068 and 82072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82068 and 82072.

How to find the GCF of 82068 and 82072?

We will first find the prime factorization of 82068 and 82072. After we will calculate the factors of 82068 and 82072 and find the biggest common factor number .

Step-1: Prime Factorization of 82068

Prime factors of 82068 are 2, 3, 7, 977. Prime factorization of 82068 in exponential form is:

82068 = 2² × 3¹ × 7¹ × 977¹

Step-2: Prime Factorization of 82072

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

82072 = 2³ × 10259¹

Step-3: Factors of 82068

List of positive integer factors of 82068 that divides 82068 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 977, 1954, 2931, 3908, 5862, 6839, 11724, 13678, 20517, 27356, 41034

Step-4: Factors of 82072

List of positive integer factors of 82072 that divides 82068 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82068 and 82072. The biggest common factor number is the GCF number.
So the greatest common factor 82068 and 82072 is 4.

Also check out the Least Common Multiple of 82068 and 82072