What is the Greatest Common Factor of 35289 and 35309?

Greatest common factor (GCF) of 35289 and 35309 is 1.

GCF(35289,35309) = 1

We will now calculate the prime factors of 35289 and 35309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35289 and 35309.

How to find the GCF of 35289 and 35309?

We will first find the prime factorization of 35289 and 35309. After we will calculate the factors of 35289 and 35309 and find the biggest common factor number .

Step-1: Prime Factorization of 35289

Prime factors of 35289 are 3, 1307. Prime factorization of 35289 in exponential form is:

35289 = 3³ × 1307¹

Step-2: Prime Factorization of 35309

Prime factors of 35309 are 17, 31, 67. Prime factorization of 35309 in exponential form is:

35309 = 17¹ × 31¹ × 67¹

Step-3: Factors of 35289

List of positive integer factors of 35289 that divides 35289 without a remainder.

1, 3, 9, 27, 1307, 3921, 11763

Step-4: Factors of 35309

List of positive integer factors of 35309 that divides 35289 without a remainder.

1, 17, 31, 67, 527, 1139, 2077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35289 and 35309. The biggest common factor number is the GCF number.
So the greatest common factor 35289 and 35309 is 1.

Also check out the Least Common Multiple of 35289 and 35309