What is the Greatest Common Factor of 80598 and 80613?

Greatest common factor (GCF) of 80598 and 80613 is 3.

GCF(80598,80613) = 3

We will now calculate the prime factors of 80598 and 80613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80598 and 80613.

How to find the GCF of 80598 and 80613?

We will first find the prime factorization of 80598 and 80613. After we will calculate the factors of 80598 and 80613 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 80613

Prime factors of 80613 are 3, 13, 53. Prime factorization of 80613 in exponential form is:

80613 = 3² × 13² × 53¹

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 80613

List of positive integer factors of 80613 that divides 80598 without a remainder.

1, 3, 9, 13, 39, 53, 117, 159, 169, 477, 507, 689, 1521, 2067, 6201, 8957, 26871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80598 and 80613. The biggest common factor number is the GCF number.
So the greatest common factor 80598 and 80613 is 3.

Also check out the Least Common Multiple of 80598 and 80613