What is the Greatest Common Factor of 60214 and 60226?

Greatest common factor (GCF) of 60214 and 60226 is 2.

GCF(60214,60226) = 2

We will now calculate the prime factors of 60214 and 60226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60214 and 60226.

How to find the GCF of 60214 and 60226?

We will first find the prime factorization of 60214 and 60226. After we will calculate the factors of 60214 and 60226 and find the biggest common factor number .

Step-1: Prime Factorization of 60214

Prime factors of 60214 are 2, 7, 11, 17, 23. Prime factorization of 60214 in exponential form is:

60214 = 2¹ × 7¹ × 11¹ × 17¹ × 23¹

Step-2: Prime Factorization of 60226

Prime factors of 60226 are 2, 30113. Prime factorization of 60226 in exponential form is:

60226 = 2¹ × 30113¹

Step-3: Factors of 60214

List of positive integer factors of 60214 that divides 60214 without a remainder.

1, 2, 7, 11, 14, 17, 22, 23, 34, 46, 77, 119, 154, 161, 187, 238, 253, 322, 374, 391, 506, 782, 1309, 1771, 2618, 2737, 3542, 4301, 5474, 8602, 30107

Step-4: Factors of 60226

List of positive integer factors of 60226 that divides 60214 without a remainder.

1, 2, 30113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60214 and 60226. The biggest common factor number is the GCF number.
So the greatest common factor 60214 and 60226 is 2.

Also check out the Least Common Multiple of 60214 and 60226