What is the Greatest Common Factor of 68001 and 68020?

Greatest common factor (GCF) of 68001 and 68020 is 19.

GCF(68001,68020) = 19

We will now calculate the prime factors of 68001 and 68020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68001 and 68020.

How to find the GCF of 68001 and 68020?

We will first find the prime factorization of 68001 and 68020. After we will calculate the factors of 68001 and 68020 and find the biggest common factor number .

Step-1: Prime Factorization of 68001

Prime factors of 68001 are 3, 19, 1193. Prime factorization of 68001 in exponential form is:

68001 = 3¹ × 19¹ × 1193¹

Step-2: Prime Factorization of 68020

Prime factors of 68020 are 2, 5, 19, 179. Prime factorization of 68020 in exponential form is:

68020 = 2² × 5¹ × 19¹ × 179¹

Step-3: Factors of 68001

List of positive integer factors of 68001 that divides 68001 without a remainder.

1, 3, 19, 57, 1193, 3579, 22667

Step-4: Factors of 68020

List of positive integer factors of 68020 that divides 68001 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 179, 190, 358, 380, 716, 895, 1790, 3401, 3580, 6802, 13604, 17005, 34010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68001 and 68020. The biggest common factor number is the GCF number.
So the greatest common factor 68001 and 68020 is 19.

Also check out the Least Common Multiple of 68001 and 68020