What is the Greatest Common Factor of 29489 and 29509?

Greatest common factor (GCF) of 29489 and 29509 is 1.

GCF(29489,29509) = 1

We will now calculate the prime factors of 29489 and 29509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29489 and 29509.

How to find the GCF of 29489 and 29509?

We will first find the prime factorization of 29489 and 29509. After we will calculate the factors of 29489 and 29509 and find the biggest common factor number .

Step-1: Prime Factorization of 29489

Prime factors of 29489 are 37, 797. Prime factorization of 29489 in exponential form is:

29489 = 37¹ × 797¹

Step-2: Prime Factorization of 29509

Prime factors of 29509 are 23, 1283. Prime factorization of 29509 in exponential form is:

29509 = 23¹ × 1283¹

Step-3: Factors of 29489

List of positive integer factors of 29489 that divides 29489 without a remainder.

1, 37, 797

Step-4: Factors of 29509

List of positive integer factors of 29509 that divides 29489 without a remainder.

1, 23, 1283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29489 and 29509. The biggest common factor number is the GCF number.
So the greatest common factor 29489 and 29509 is 1.

Also check out the Least Common Multiple of 29489 and 29509