What is the Greatest Common Factor of 80220 and 80235?

Greatest common factor (GCF) of 80220 and 80235 is 15.

GCF(80220,80235) = 15

We will now calculate the prime factors of 80220 and 80235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80220 and 80235.

How to find the GCF of 80220 and 80235?

We will first find the prime factorization of 80220 and 80235. After we will calculate the factors of 80220 and 80235 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 80235

Prime factors of 80235 are 3, 5, 1783. Prime factorization of 80235 in exponential form is:

80235 = 3² × 5¹ × 1783¹

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 80235

List of positive integer factors of 80235 that divides 80220 without a remainder.

1, 3, 5, 9, 15, 45, 1783, 5349, 8915, 16047, 26745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80220 and 80235. The biggest common factor number is the GCF number.
So the greatest common factor 80220 and 80235 is 15.

Also check out the Least Common Multiple of 80220 and 80235