What is the Greatest Common Factor of 80592 and 80604?

Greatest common factor (GCF) of 80592 and 80604 is 12.

GCF(80592,80604) = 12

We will now calculate the prime factors of 80592 and 80604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80592 and 80604.

How to find the GCF of 80592 and 80604?

We will first find the prime factorization of 80592 and 80604. After we will calculate the factors of 80592 and 80604 and find the biggest common factor number .

Step-1: Prime Factorization of 80592

Prime factors of 80592 are 2, 3, 23, 73. Prime factorization of 80592 in exponential form is:

80592 = 2⁴ × 3¹ × 23¹ × 73¹

Step-2: Prime Factorization of 80604

Prime factors of 80604 are 2, 3, 2239. Prime factorization of 80604 in exponential form is:

80604 = 2² × 3² × 2239¹

Step-3: Factors of 80592

List of positive integer factors of 80592 that divides 80592 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 73, 92, 138, 146, 184, 219, 276, 292, 368, 438, 552, 584, 876, 1104, 1168, 1679, 1752, 3358, 3504, 5037, 6716, 10074, 13432, 20148, 26864, 40296

Step-4: Factors of 80604

List of positive integer factors of 80604 that divides 80592 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2239, 4478, 6717, 8956, 13434, 20151, 26868, 40302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80592 and 80604. The biggest common factor number is the GCF number.
So the greatest common factor 80592 and 80604 is 12.

Also check out the Least Common Multiple of 80592 and 80604