What is the Greatest Common Factor of 60234 and 60246?

Greatest common factor (GCF) of 60234 and 60246 is 6.

GCF(60234,60246) = 6

We will now calculate the prime factors of 60234 and 60246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60234 and 60246.

How to find the GCF of 60234 and 60246?

We will first find the prime factorization of 60234 and 60246. After we will calculate the factors of 60234 and 60246 and find the biggest common factor number .

Step-1: Prime Factorization of 60234

Prime factors of 60234 are 2, 3, 10039. Prime factorization of 60234 in exponential form is:

60234 = 2¹ × 3¹ × 10039¹

Step-2: Prime Factorization of 60246

Prime factors of 60246 are 2, 3, 3347. Prime factorization of 60246 in exponential form is:

60246 = 2¹ × 3² × 3347¹

Step-3: Factors of 60234

List of positive integer factors of 60234 that divides 60234 without a remainder.

1, 2, 3, 6, 10039, 20078, 30117

Step-4: Factors of 60246

List of positive integer factors of 60246 that divides 60234 without a remainder.

1, 2, 3, 6, 9, 18, 3347, 6694, 10041, 20082, 30123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60234 and 60246. The biggest common factor number is the GCF number.
So the greatest common factor 60234 and 60246 is 6.

Also check out the Least Common Multiple of 60234 and 60246