What is the Greatest Common Factor of 39522 and 39529?

Greatest common factor (GCF) of 39522 and 39529 is 7.

GCF(39522,39529) = 7

We will now calculate the prime factors of 39522 and 39529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39522 and 39529.

How to find the GCF of 39522 and 39529?

We will first find the prime factorization of 39522 and 39529. After we will calculate the factors of 39522 and 39529 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 39529

Prime factors of 39529 are 7, 5647. Prime factorization of 39529 in exponential form is:

39529 = 7¹ × 5647¹

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 39529

List of positive integer factors of 39529 that divides 39522 without a remainder.

1, 7, 5647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39522 and 39529. The biggest common factor number is the GCF number.
So the greatest common factor 39522 and 39529 is 7.

Also check out the Least Common Multiple of 39522 and 39529