What is the Greatest Common Factor of 39522 and 39537?

Greatest common factor (GCF) of 39522 and 39537 is 3.

GCF(39522,39537) = 3

We will now calculate the prime factors of 39522 and 39537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39522 and 39537.

How to find the GCF of 39522 and 39537?

We will first find the prime factorization of 39522 and 39537. After we will calculate the factors of 39522 and 39537 and find the biggest common factor number .

Step-1: Prime Factorization of 39522

Prime factors of 39522 are 2, 3, 7, 941. Prime factorization of 39522 in exponential form is:

39522 = 2¹ × 3¹ × 7¹ × 941¹

Step-2: Prime Factorization of 39537

Prime factors of 39537 are 3, 23, 191. Prime factorization of 39537 in exponential form is:

39537 = 3² × 23¹ × 191¹

Step-3: Factors of 39522

List of positive integer factors of 39522 that divides 39522 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 941, 1882, 2823, 5646, 6587, 13174, 19761

Step-4: Factors of 39537

List of positive integer factors of 39537 that divides 39522 without a remainder.

1, 3, 9, 23, 69, 191, 207, 573, 1719, 4393, 13179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39522 and 39537. The biggest common factor number is the GCF number.
So the greatest common factor 39522 and 39537 is 3.

Also check out the Least Common Multiple of 39522 and 39537