What is the Greatest Common Factor of 82072 and 82076?

Greatest common factor (GCF) of 82072 and 82076 is 4.

GCF(82072,82076) = 4

We will now calculate the prime factors of 82072 and 82076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82072 and 82076.

How to find the GCF of 82072 and 82076?

We will first find the prime factorization of 82072 and 82076. After we will calculate the factors of 82072 and 82076 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 82076

Prime factors of 82076 are 2, 17, 71. Prime factorization of 82076 in exponential form is:

82076 = 2² × 17² × 71¹

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 82076

List of positive integer factors of 82076 that divides 82072 without a remainder.

1, 2, 4, 17, 34, 68, 71, 142, 284, 289, 578, 1156, 1207, 2414, 4828, 20519, 41038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82072 and 82076. The biggest common factor number is the GCF number.
So the greatest common factor 82072 and 82076 is 4.

Also check out the Least Common Multiple of 82072 and 82076