What is the Greatest Common Factor of 80216 and 80220?

Greatest common factor (GCF) of 80216 and 80220 is 4.

GCF(80216,80220) = 4

We will now calculate the prime factors of 80216 and 80220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80216 and 80220.

How to find the GCF of 80216 and 80220?

We will first find the prime factorization of 80216 and 80220. After we will calculate the factors of 80216 and 80220 and find the biggest common factor number .

Step-1: Prime Factorization of 80216

Prime factors of 80216 are 2, 37, 271. Prime factorization of 80216 in exponential form is:

80216 = 2³ × 37¹ × 271¹

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 80216

List of positive integer factors of 80216 that divides 80216 without a remainder.

1, 2, 4, 8, 37, 74, 148, 271, 296, 542, 1084, 2168, 10027, 20054, 40108

Step-4: Factors of 80220

List of positive integer factors of 80220 that divides 80216 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 80216 and 80220. The biggest common factor number is the GCF number.
So the greatest common factor 80216 and 80220 is 4.

Also check out the Least Common Multiple of 80216 and 80220