What is the Greatest Common Factor of 80452 and 80460?

Greatest common factor (GCF) of 80452 and 80460 is 4.

GCF(80452,80460) = 4

We will now calculate the prime factors of 80452 and 80460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80452 and 80460.

How to find the GCF of 80452 and 80460?

We will first find the prime factorization of 80452 and 80460. After we will calculate the factors of 80452 and 80460 and find the biggest common factor number .

Step-1: Prime Factorization of 80452

Prime factors of 80452 are 2, 20113. Prime factorization of 80452 in exponential form is:

80452 = 2² × 20113¹

Step-2: Prime Factorization of 80460

Prime factors of 80460 are 2, 3, 5, 149. Prime factorization of 80460 in exponential form is:

80460 = 2² × 3³ × 5¹ × 149¹

Step-3: Factors of 80452

List of positive integer factors of 80452 that divides 80452 without a remainder.

1, 2, 4, 20113, 40226

Step-4: Factors of 80460

List of positive integer factors of 80460 that divides 80452 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 149, 180, 270, 298, 447, 540, 596, 745, 894, 1341, 1490, 1788, 2235, 2682, 2980, 4023, 4470, 5364, 6705, 8046, 8940, 13410, 16092, 20115, 26820, 40230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80452 and 80460. The biggest common factor number is the GCF number.
So the greatest common factor 80452 and 80460 is 4.

Also check out the Least Common Multiple of 80452 and 80460