What is the Greatest Common Factor of 60214 and 60224?

Greatest common factor (GCF) of 60214 and 60224 is 2.

GCF(60214,60224) = 2

We will now calculate the prime factors of 60214 and 60224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60214 and 60224.

How to find the GCF of 60214 and 60224?

We will first find the prime factorization of 60214 and 60224. After we will calculate the factors of 60214 and 60224 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 60224

Prime factors of 60224 are 2, 941. Prime factorization of 60224 in exponential form is:

60224 = 2⁶ × 941¹

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 60224

List of positive integer factors of 60224 that divides 60214 without a remainder.

1, 2, 4, 8, 16, 32, 64, 941, 1882, 3764, 7528, 15056, 30112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60214 and 60224. The biggest common factor number is the GCF number.
So the greatest common factor 60214 and 60224 is 2.

Also check out the Least Common Multiple of 60214 and 60224