What is the Greatest Common Factor of 35493 and 35511?

Greatest common factor (GCF) of 35493 and 35511 is 3.

GCF(35493,35511) = 3

We will now calculate the prime factors of 35493 and 35511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35493 and 35511.

How to find the GCF of 35493 and 35511?

We will first find the prime factorization of 35493 and 35511. After we will calculate the factors of 35493 and 35511 and find the biggest common factor number .

Step-1: Prime Factorization of 35493

Prime factors of 35493 are 3, 11831. Prime factorization of 35493 in exponential form is:

35493 = 3¹ × 11831¹

Step-2: Prime Factorization of 35511

Prime factors of 35511 are 3, 7, 19, 89. Prime factorization of 35511 in exponential form is:

35511 = 3¹ × 7¹ × 19¹ × 89¹

Step-3: Factors of 35493

List of positive integer factors of 35493 that divides 35493 without a remainder.

1, 3, 11831

Step-4: Factors of 35511

List of positive integer factors of 35511 that divides 35493 without a remainder.

1, 3, 7, 19, 21, 57, 89, 133, 267, 399, 623, 1691, 1869, 5073, 11837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35493 and 35511. The biggest common factor number is the GCF number.
So the greatest common factor 35493 and 35511 is 3.

Also check out the Least Common Multiple of 35493 and 35511