What is the Greatest Common Factor of 80220 and 80236?

Greatest common factor (GCF) of 80220 and 80236 is 4.

GCF(80220,80236) = 4

We will now calculate the prime factors of 80220 and 80236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80220 and 80236.

How to find the GCF of 80220 and 80236?

We will first find the prime factorization of 80220 and 80236. After we will calculate the factors of 80220 and 80236 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 80236

Prime factors of 80236 are 2, 13, 1543. Prime factorization of 80236 in exponential form is:

80236 = 2² × 13¹ × 1543¹

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 80236

List of positive integer factors of 80236 that divides 80220 without a remainder.

1, 2, 4, 13, 26, 52, 1543, 3086, 6172, 20059, 40118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80220 and 80236. The biggest common factor number is the GCF number.
So the greatest common factor 80220 and 80236 is 4.

Also check out the Least Common Multiple of 80220 and 80236