What is the Greatest Common Factor of 60222 and 60236?

Greatest common factor (GCF) of 60222 and 60236 is 2.

GCF(60222,60236) = 2

We will now calculate the prime factors of 60222 and 60236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60222 and 60236.

How to find the GCF of 60222 and 60236?

We will first find the prime factorization of 60222 and 60236. After we will calculate the factors of 60222 and 60236 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60236

Prime factors of 60236 are 2, 11, 37. Prime factorization of 60236 in exponential form is:

60236 = 2² × 11¹ × 37²

Step-3: Factors of 60222

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

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

Step-4: Factors of 60236

List of positive integer factors of 60236 that divides 60222 without a remainder.

1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1369, 1628, 2738, 5476, 15059, 30118

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60222 and 60236. The biggest common factor number is the GCF number.
So the greatest common factor 60222 and 60236 is 2.

Also check out the Least Common Multiple of 60222 and 60236