What is the Greatest Common Factor of 80292 and 80300?

Greatest common factor (GCF) of 80292 and 80300 is 4.

GCF(80292,80300) = 4

We will now calculate the prime factors of 80292 and 80300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80292 and 80300.

How to find the GCF of 80292 and 80300?

We will first find the prime factorization of 80292 and 80300. After we will calculate the factors of 80292 and 80300 and find the biggest common factor number .

Step-1: Prime Factorization of 80292

Prime factors of 80292 are 2, 3, 6691. Prime factorization of 80292 in exponential form is:

80292 = 2² × 3¹ × 6691¹

Step-2: Prime Factorization of 80300

Prime factors of 80300 are 2, 5, 11, 73. Prime factorization of 80300 in exponential form is:

80300 = 2² × 5² × 11¹ × 73¹

Step-3: Factors of 80292

List of positive integer factors of 80292 that divides 80292 without a remainder.

1, 2, 3, 4, 6, 12, 6691, 13382, 20073, 26764, 40146

Step-4: Factors of 80300

List of positive integer factors of 80300 that divides 80292 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 73, 100, 110, 146, 220, 275, 292, 365, 550, 730, 803, 1100, 1460, 1606, 1825, 3212, 3650, 4015, 7300, 8030, 16060, 20075, 40150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80292 and 80300. The biggest common factor number is the GCF number.
So the greatest common factor 80292 and 80300 is 4.

Also check out the Least Common Multiple of 80292 and 80300