What is the Greatest Common Factor of 80219 and 80236?

Greatest common factor (GCF) of 80219 and 80236 is 1.

GCF(80219,80236) = 1

We will now calculate the prime factors of 80219 and 80236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80219 and 80236.

How to find the GCF of 80219 and 80236?

We will first find the prime factorization of 80219 and 80236. After we will calculate the factors of 80219 and 80236 and find the biggest common factor number .

Step-1: Prime Factorization of 80219

Prime factors of 80219 are 97, 827. Prime factorization of 80219 in exponential form is:

80219 = 97¹ × 827¹

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 80219

List of positive integer factors of 80219 that divides 80219 without a remainder.

1, 97, 827

Step-4: Factors of 80236

List of positive integer factors of 80236 that divides 80219 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 80219 and 80236. The biggest common factor number is the GCF number.
So the greatest common factor 80219 and 80236 is 1.

Also check out the Least Common Multiple of 80219 and 80236