What is the Greatest Common Factor of 39222 and 39235?

Greatest common factor (GCF) of 39222 and 39235 is 1.

GCF(39222,39235) = 1

We will now calculate the prime factors of 39222 and 39235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39222 and 39235.

How to find the GCF of 39222 and 39235?

We will first find the prime factorization of 39222 and 39235. After we will calculate the factors of 39222 and 39235 and find the biggest common factor number .

Step-1: Prime Factorization of 39222

Prime factors of 39222 are 2, 3, 2179. Prime factorization of 39222 in exponential form is:

39222 = 2¹ × 3² × 2179¹

Step-2: Prime Factorization of 39235

Prime factors of 39235 are 5, 7, 19, 59. Prime factorization of 39235 in exponential form is:

39235 = 5¹ × 7¹ × 19¹ × 59¹

Step-3: Factors of 39222

List of positive integer factors of 39222 that divides 39222 without a remainder.

1, 2, 3, 6, 9, 18, 2179, 4358, 6537, 13074, 19611

Step-4: Factors of 39235

List of positive integer factors of 39235 that divides 39222 without a remainder.

1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39222 and 39235. The biggest common factor number is the GCF number.
So the greatest common factor 39222 and 39235 is 1.

Also check out the Least Common Multiple of 39222 and 39235