What is the Greatest Common Factor of 80852 and 80869?

Greatest common factor (GCF) of 80852 and 80869 is 17.

GCF(80852,80869) = 17

We will now calculate the prime factors of 80852 and 80869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80852 and 80869.

How to find the GCF of 80852 and 80869?

We will first find the prime factorization of 80852 and 80869. After we will calculate the factors of 80852 and 80869 and find the biggest common factor number .

Step-1: Prime Factorization of 80852

Prime factors of 80852 are 2, 17, 29, 41. Prime factorization of 80852 in exponential form is:

80852 = 2² × 17¹ × 29¹ × 41¹

Step-2: Prime Factorization of 80869

Prime factors of 80869 are 17, 67, 71. Prime factorization of 80869 in exponential form is:

80869 = 17¹ × 67¹ × 71¹

Step-3: Factors of 80852

List of positive integer factors of 80852 that divides 80852 without a remainder.

1, 2, 4, 17, 29, 34, 41, 58, 68, 82, 116, 164, 493, 697, 986, 1189, 1394, 1972, 2378, 2788, 4756, 20213, 40426

Step-4: Factors of 80869

List of positive integer factors of 80869 that divides 80852 without a remainder.

1, 17, 67, 71, 1139, 1207, 4757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80852 and 80869. The biggest common factor number is the GCF number.
So the greatest common factor 80852 and 80869 is 17.

Also check out the Least Common Multiple of 80852 and 80869