What is the Greatest Common Factor of 72092 and 72104?

Greatest common factor (GCF) of 72092 and 72104 is 4.

GCF(72092,72104) = 4

We will now calculate the prime factors of 72092 and 72104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72092 and 72104.

How to find the GCF of 72092 and 72104?

We will first find the prime factorization of 72092 and 72104. After we will calculate the factors of 72092 and 72104 and find the biggest common factor number .

Step-1: Prime Factorization of 72092

Prime factors of 72092 are 2, 67, 269. Prime factorization of 72092 in exponential form is:

72092 = 2² × 67¹ × 269¹

Step-2: Prime Factorization of 72104

Prime factors of 72104 are 2, 9013. Prime factorization of 72104 in exponential form is:

72104 = 2³ × 9013¹

Step-3: Factors of 72092

List of positive integer factors of 72092 that divides 72092 without a remainder.

1, 2, 4, 67, 134, 268, 269, 538, 1076, 18023, 36046

Step-4: Factors of 72104

List of positive integer factors of 72104 that divides 72092 without a remainder.

1, 2, 4, 8, 9013, 18026, 36052

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72092 and 72104. The biggest common factor number is the GCF number.
So the greatest common factor 72092 and 72104 is 4.

Also check out the Least Common Multiple of 72092 and 72104