What is the Greatest Common Factor of 80598 and 80612?

Greatest common factor (GCF) of 80598 and 80612 is 14.

GCF(80598,80612) = 14

We will now calculate the prime factors of 80598 and 80612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80598 and 80612.

How to find the GCF of 80598 and 80612?

We will first find the prime factorization of 80598 and 80612. After we will calculate the factors of 80598 and 80612 and find the biggest common factor number .

Step-1: Prime Factorization of 80598

Prime factors of 80598 are 2, 3, 7, 19, 101. Prime factorization of 80598 in exponential form is:

80598 = 2¹ × 3¹ × 7¹ × 19¹ × 101¹

Step-2: Prime Factorization of 80612

Prime factors of 80612 are 2, 7, 2879. Prime factorization of 80612 in exponential form is:

80612 = 2² × 7¹ × 2879¹

Step-3: Factors of 80598

List of positive integer factors of 80598 that divides 80598 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 101, 114, 133, 202, 266, 303, 399, 606, 707, 798, 1414, 1919, 2121, 3838, 4242, 5757, 11514, 13433, 26866, 40299

Step-4: Factors of 80612

List of positive integer factors of 80612 that divides 80598 without a remainder.

1, 2, 4, 7, 14, 28, 2879, 5758, 11516, 20153, 40306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80598 and 80612. The biggest common factor number is the GCF number.
So the greatest common factor 80598 and 80612 is 14.

Also check out the Least Common Multiple of 80598 and 80612