What is the Greatest Common Factor of 60216 and 60229?

Greatest common factor (GCF) of 60216 and 60229 is 13.

GCF(60216,60229) = 13

We will now calculate the prime factors of 60216 and 60229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60216 and 60229.

How to find the GCF of 60216 and 60229?

We will first find the prime factorization of 60216 and 60229. After we will calculate the factors of 60216 and 60229 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 60229

Prime factors of 60229 are 13, 41, 113. Prime factorization of 60229 in exponential form is:

60229 = 13¹ × 41¹ × 113¹

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 60229

List of positive integer factors of 60229 that divides 60216 without a remainder.

1, 13, 41, 113, 533, 1469, 4633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60216 and 60229. The biggest common factor number is the GCF number.
So the greatest common factor 60216 and 60229 is 13.

Also check out the Least Common Multiple of 60216 and 60229