What is the Greatest Common Factor of 29498 and 29509?

Greatest common factor (GCF) of 29498 and 29509 is 1.

GCF(29498,29509) = 1

We will now calculate the prime factors of 29498 and 29509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29498 and 29509.

How to find the GCF of 29498 and 29509?

We will first find the prime factorization of 29498 and 29509. After we will calculate the factors of 29498 and 29509 and find the biggest common factor number .

Step-1: Prime Factorization of 29498

Prime factors of 29498 are 2, 7, 43. Prime factorization of 29498 in exponential form is:

29498 = 2¹ × 7³ × 43¹

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 29498

List of positive integer factors of 29498 that divides 29498 without a remainder.

1, 2, 7, 14, 43, 49, 86, 98, 301, 343, 602, 686, 2107, 4214, 14749

Step-4: Factors of 29509

List of positive integer factors of 29509 that divides 29498 without a remainder.

1, 23, 1283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29498 and 29509. The biggest common factor number is the GCF number.
So the greatest common factor 29498 and 29509 is 1.

Also check out the Least Common Multiple of 29498 and 29509