What is the Greatest Common Factor of 35883 and 35902?

Greatest common factor (GCF) of 35883 and 35902 is 1.

GCF(35883,35902) = 1

We will now calculate the prime factors of 35883 and 35902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35883 and 35902.

How to find the GCF of 35883 and 35902?

We will first find the prime factorization of 35883 and 35902. After we will calculate the factors of 35883 and 35902 and find the biggest common factor number .

Step-1: Prime Factorization of 35883

Prime factors of 35883 are 3, 443. Prime factorization of 35883 in exponential form is:

35883 = 3⁴ × 443¹

Step-2: Prime Factorization of 35902

Prime factors of 35902 are 2, 29, 619. Prime factorization of 35902 in exponential form is:

35902 = 2¹ × 29¹ × 619¹

Step-3: Factors of 35883

List of positive integer factors of 35883 that divides 35883 without a remainder.

1, 3, 9, 27, 81, 443, 1329, 3987, 11961

Step-4: Factors of 35902

List of positive integer factors of 35902 that divides 35883 without a remainder.

1, 2, 29, 58, 619, 1238, 17951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35883 and 35902. The biggest common factor number is the GCF number.
So the greatest common factor 35883 and 35902 is 1.

Also check out the Least Common Multiple of 35883 and 35902