What is the Greatest Common Factor of 80208 and 80220?

Greatest common factor (GCF) of 80208 and 80220 is 12.

GCF(80208,80220) = 12

We will now calculate the prime factors of 80208 and 80220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80208 and 80220.

How to find the GCF of 80208 and 80220?

We will first find the prime factorization of 80208 and 80220. After we will calculate the factors of 80208 and 80220 and find the biggest common factor number .

Step-1: Prime Factorization of 80208

Prime factors of 80208 are 2, 3, 557. Prime factorization of 80208 in exponential form is:

80208 = 2⁴ × 3² × 557¹

Step-2: 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-3: Factors of 80208

List of positive integer factors of 80208 that divides 80208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 557, 1114, 1671, 2228, 3342, 4456, 5013, 6684, 8912, 10026, 13368, 20052, 26736, 40104

Step-4: Factors of 80220

List of positive integer factors of 80220 that divides 80208 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80208 and 80220. The biggest common factor number is the GCF number.
So the greatest common factor 80208 and 80220 is 12.

Also check out the Least Common Multiple of 80208 and 80220