What is the Greatest Common Factor of 29522 and 29537?

Greatest common factor (GCF) of 29522 and 29537 is 1.

GCF(29522,29537) = 1

We will now calculate the prime factors of 29522 and 29537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29522 and 29537.

How to find the GCF of 29522 and 29537?

We will first find the prime factorization of 29522 and 29537. After we will calculate the factors of 29522 and 29537 and find the biggest common factor number .

Step-1: Prime Factorization of 29522

Prime factors of 29522 are 2, 29, 509. Prime factorization of 29522 in exponential form is:

29522 = 2¹ × 29¹ × 509¹

Step-2: Prime Factorization of 29537

Prime factors of 29537 are 29537. Prime factorization of 29537 in exponential form is:

29537 = 29537¹

Step-3: Factors of 29522

List of positive integer factors of 29522 that divides 29522 without a remainder.

1, 2, 29, 58, 509, 1018, 14761

Step-4: Factors of 29537

List of positive integer factors of 29537 that divides 29522 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29522 and 29537. The biggest common factor number is the GCF number.
So the greatest common factor 29522 and 29537 is 1.

Also check out the Least Common Multiple of 29522 and 29537