What is the Greatest Common Factor of 80579 and 80598?

Greatest common factor (GCF) of 80579 and 80598 is 19.

GCF(80579,80598) = 19

We will now calculate the prime factors of 80579 and 80598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80579 and 80598.

How to find the GCF of 80579 and 80598?

We will first find the prime factorization of 80579 and 80598. After we will calculate the factors of 80579 and 80598 and find the biggest common factor number .

Step-1: Prime Factorization of 80579

Prime factors of 80579 are 19, 4241. Prime factorization of 80579 in exponential form is:

80579 = 19¹ × 4241¹

Step-2: 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-3: Factors of 80579

List of positive integer factors of 80579 that divides 80579 without a remainder.

1, 19, 4241

Step-4: Factors of 80598

List of positive integer factors of 80598 that divides 80579 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80579 and 80598. The biggest common factor number is the GCF number.
So the greatest common factor 80579 and 80598 is 19.

Also check out the Least Common Multiple of 80579 and 80598