What is the Greatest Common Factor of 60216 and 60234?

Greatest common factor (GCF) of 60216 and 60234 is 6.

GCF(60216,60234) = 6

We will now calculate the prime factors of 60216 and 60234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60216 and 60234.

How to find the GCF of 60216 and 60234?

We will first find the prime factorization of 60216 and 60234. After we will calculate the factors of 60216 and 60234 and find the biggest common factor number .

Step-1: Prime Factorization of 60216

Prime factors of 60216 are 2, 3, 13, 193. Prime factorization of 60216 in exponential form is:

60216 = 2³ × 3¹ × 13¹ × 193¹

Step-2: 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-3: Factors of 60216

List of positive integer factors of 60216 that divides 60216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 193, 312, 386, 579, 772, 1158, 1544, 2316, 2509, 4632, 5018, 7527, 10036, 15054, 20072, 30108

Step-4: Factors of 60234

List of positive integer factors of 60234 that divides 60216 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60216 and 60234. The biggest common factor number is the GCF number.
So the greatest common factor 60216 and 60234 is 6.

Also check out the Least Common Multiple of 60216 and 60234