What is the Greatest Common Factor of 80220 and 80229?

Greatest common factor (GCF) of 80220 and 80229 is 3.

GCF(80220,80229) = 3

We will now calculate the prime factors of 80220 and 80229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80220 and 80229.

How to find the GCF of 80220 and 80229?

We will first find the prime factorization of 80220 and 80229. After we will calculate the factors of 80220 and 80229 and find the biggest common factor number .

Step-1: Prime Factorization of 80220

Prime factors of 80220 are 2, 3, 5, 7, 191. Prime factorization of 80220 in exponential form is:

80220 = 2² × 3¹ × 5¹ × 7¹ × 191¹

Step-2: Prime Factorization of 80229

Prime factors of 80229 are 3, 47, 569. Prime factorization of 80229 in exponential form is:

80229 = 3¹ × 47¹ × 569¹

Step-3: Factors of 80220

List of positive integer factors of 80220 that divides 80220 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 191, 210, 382, 420, 573, 764, 955, 1146, 1337, 1910, 2292, 2674, 2865, 3820, 4011, 5348, 5730, 6685, 8022, 11460, 13370, 16044, 20055, 26740, 40110

Step-4: Factors of 80229

List of positive integer factors of 80229 that divides 80220 without a remainder.

1, 3, 47, 141, 569, 1707, 26743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80220 and 80229. The biggest common factor number is the GCF number.
So the greatest common factor 80220 and 80229 is 3.

Also check out the Least Common Multiple of 80220 and 80229