What is the Greatest Common Factor of 60006 and 60023?

Greatest common factor (GCF) of 60006 and 60023 is 1.

GCF(60006,60023) = 1

We will now calculate the prime factors of 60006 and 60023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60006 and 60023.

How to find the GCF of 60006 and 60023?

We will first find the prime factorization of 60006 and 60023. After we will calculate the factors of 60006 and 60023 and find the biggest common factor number .

Step-1: Prime Factorization of 60006

Prime factors of 60006 are 2, 3, 73, 137. Prime factorization of 60006 in exponential form is:

60006 = 2¹ × 3¹ × 73¹ × 137¹

Step-2: Prime Factorization of 60023

Prime factors of 60023 are 193, 311. Prime factorization of 60023 in exponential form is:

60023 = 193¹ × 311¹

Step-3: Factors of 60006

List of positive integer factors of 60006 that divides 60006 without a remainder.

1, 2, 3, 6, 73, 137, 146, 219, 274, 411, 438, 822, 10001, 20002, 30003

Step-4: Factors of 60023

List of positive integer factors of 60023 that divides 60006 without a remainder.

1, 193, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60006 and 60023. The biggest common factor number is the GCF number.
So the greatest common factor 60006 and 60023 is 1.

Also check out the Least Common Multiple of 60006 and 60023