What is the Greatest Common Factor of 80852 and 80868?

Greatest common factor (GCF) of 80852 and 80868 is 4.

GCF(80852,80868) = 4

We will now calculate the prime factors of 80852 and 80868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80852 and 80868.

How to find the GCF of 80852 and 80868?

We will first find the prime factorization of 80852 and 80868. After we will calculate the factors of 80852 and 80868 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 80868

Prime factors of 80868 are 2, 3, 23, 293. Prime factorization of 80868 in exponential form is:

80868 = 2² × 3¹ × 23¹ × 293¹

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 80868

List of positive integer factors of 80868 that divides 80852 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 293, 586, 879, 1172, 1758, 3516, 6739, 13478, 20217, 26956, 40434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80852 and 80868. The biggest common factor number is the GCF number.
So the greatest common factor 80852 and 80868 is 4.

Also check out the Least Common Multiple of 80852 and 80868