What is the Greatest Common Factor of 35483 and 35490?

Greatest common factor (GCF) of 35483 and 35490 is 7.

GCF(35483,35490) = 7

We will now calculate the prime factors of 35483 and 35490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35483 and 35490.

How to find the GCF of 35483 and 35490?

We will first find the prime factorization of 35483 and 35490. After we will calculate the factors of 35483 and 35490 and find the biggest common factor number .

Step-1: Prime Factorization of 35483

Prime factors of 35483 are 7, 37, 137. Prime factorization of 35483 in exponential form is:

35483 = 7¹ × 37¹ × 137¹

Step-2: 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-3: Factors of 35483

List of positive integer factors of 35483 that divides 35483 without a remainder.

1, 7, 37, 137, 259, 959, 5069

Step-4: Factors of 35490

List of positive integer factors of 35490 that divides 35483 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35483 and 35490. The biggest common factor number is the GCF number.
So the greatest common factor 35483 and 35490 is 7.

Also check out the Least Common Multiple of 35483 and 35490