What is the Greatest Common Factor of 35289 and 35295?

Greatest common factor (GCF) of 35289 and 35295 is 3.

GCF(35289,35295) = 3

We will now calculate the prime factors of 35289 and 35295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35289 and 35295.

How to find the GCF of 35289 and 35295?

We will first find the prime factorization of 35289 and 35295. After we will calculate the factors of 35289 and 35295 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 35295

Prime factors of 35295 are 3, 5, 13, 181. Prime factorization of 35295 in exponential form is:

35295 = 3¹ × 5¹ × 13¹ × 181¹

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 35295

List of positive integer factors of 35295 that divides 35289 without a remainder.

1, 3, 5, 13, 15, 39, 65, 181, 195, 543, 905, 2353, 2715, 7059, 11765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35289 and 35295. The biggest common factor number is the GCF number.
So the greatest common factor 35289 and 35295 is 3.

Also check out the Least Common Multiple of 35289 and 35295