What is the Greatest Common Factor of 75222 and 75236?

Greatest common factor (GCF) of 75222 and 75236 is 14.

GCF(75222,75236) = 14

We will now calculate the prime factors of 75222 and 75236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75222 and 75236.

How to find the GCF of 75222 and 75236?

We will first find the prime factorization of 75222 and 75236. After we will calculate the factors of 75222 and 75236 and find the biggest common factor number .

Step-1: Prime Factorization of 75222

Prime factors of 75222 are 2, 3, 7, 199. Prime factorization of 75222 in exponential form is:

75222 = 2¹ × 3³ × 7¹ × 199¹

Step-2: Prime Factorization of 75236

Prime factors of 75236 are 2, 7, 2687. Prime factorization of 75236 in exponential form is:

75236 = 2² × 7¹ × 2687¹

Step-3: Factors of 75222

List of positive integer factors of 75222 that divides 75222 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 199, 378, 398, 597, 1194, 1393, 1791, 2786, 3582, 4179, 5373, 8358, 10746, 12537, 25074, 37611

Step-4: Factors of 75236

List of positive integer factors of 75236 that divides 75222 without a remainder.

1, 2, 4, 7, 14, 28, 2687, 5374, 10748, 18809, 37618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75222 and 75236. The biggest common factor number is the GCF number.
So the greatest common factor 75222 and 75236 is 14.

Also check out the Least Common Multiple of 75222 and 75236