What is the Greatest Common Factor of 60208 and 60222?

Greatest common factor (GCF) of 60208 and 60222 is 2.

GCF(60208,60222) = 2

We will now calculate the prime factors of 60208 and 60222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60208 and 60222.

How to find the GCF of 60208 and 60222?

We will first find the prime factorization of 60208 and 60222. After we will calculate the factors of 60208 and 60222 and find the biggest common factor number .

Step-1: Prime Factorization of 60208

Prime factors of 60208 are 2, 53, 71. Prime factorization of 60208 in exponential form is:

60208 = 2⁴ × 53¹ × 71¹

Step-2: Prime Factorization of 60222

Prime factors of 60222 are 2, 3, 10037. Prime factorization of 60222 in exponential form is:

60222 = 2¹ × 3¹ × 10037¹

Step-3: Factors of 60208

List of positive integer factors of 60208 that divides 60208 without a remainder.

1, 2, 4, 8, 16, 53, 71, 106, 142, 212, 284, 424, 568, 848, 1136, 3763, 7526, 15052, 30104

Step-4: Factors of 60222

List of positive integer factors of 60222 that divides 60208 without a remainder.

1, 2, 3, 6, 10037, 20074, 30111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60208 and 60222. The biggest common factor number is the GCF number.
So the greatest common factor 60208 and 60222 is 2.

Also check out the Least Common Multiple of 60208 and 60222