What is the Greatest Common Factor of 35490 and 35499?

Greatest common factor (GCF) of 35490 and 35499 is 3.

GCF(35490,35499) = 3

We will now calculate the prime factors of 35490 and 35499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35490 and 35499.

How to find the GCF of 35490 and 35499?

We will first find the prime factorization of 35490 and 35499. After we will calculate the factors of 35490 and 35499 and find the biggest common factor number .

Step-1: Prime Factorization of 35490

Prime factors of 35490 are 2, 3, 5, 7, 13. Prime factorization of 35490 in exponential form is:

35490 = 2¹ × 3¹ × 5¹ × 7¹ × 13²

Step-2: Prime Factorization of 35499

Prime factors of 35499 are 3, 11833. Prime factorization of 35499 in exponential form is:

35499 = 3¹ × 11833¹

Step-3: Factors of 35490

List of positive integer factors of 35490 that divides 35490 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 169, 182, 195, 210, 273, 338, 390, 455, 507, 546, 845, 910, 1014, 1183, 1365, 1690, 2366, 2535, 2730, 3549, 5070, 5915, 7098, 11830, 17745

Step-4: Factors of 35499

List of positive integer factors of 35499 that divides 35490 without a remainder.

1, 3, 11833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35490 and 35499. The biggest common factor number is the GCF number.
So the greatest common factor 35490 and 35499 is 3.

Also check out the Least Common Multiple of 35490 and 35499