What is the Greatest Common Factor of 35486 and 35490?

Greatest common factor (GCF) of 35486 and 35490 is 2.

GCF(35486,35490) = 2

We will now calculate the prime factors of 35486 and 35490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35486 and 35490.

How to find the GCF of 35486 and 35490?

We will first find the prime factorization of 35486 and 35490. After we will calculate the factors of 35486 and 35490 and find the biggest common factor number .

Step-1: Prime Factorization of 35486

Prime factors of 35486 are 2, 11, 1613. Prime factorization of 35486 in exponential form is:

35486 = 2¹ × 11¹ × 1613¹

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 35486

List of positive integer factors of 35486 that divides 35486 without a remainder.

1, 2, 11, 22, 1613, 3226, 17743

Step-4: Factors of 35490

List of positive integer factors of 35490 that divides 35486 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 35486 and 35490. The biggest common factor number is the GCF number.
So the greatest common factor 35486 and 35490 is 2.

Also check out the Least Common Multiple of 35486 and 35490