What is the Greatest Common Factor of 35477 and 35490?

Greatest common factor (GCF) of 35477 and 35490 is 13.

GCF(35477,35490) = 13

We will now calculate the prime factors of 35477 and 35490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35477 and 35490.

How to find the GCF of 35477 and 35490?

We will first find the prime factorization of 35477 and 35490. After we will calculate the factors of 35477 and 35490 and find the biggest common factor number .

Step-1: Prime Factorization of 35477

Prime factors of 35477 are 13, 2729. Prime factorization of 35477 in exponential form is:

35477 = 13¹ × 2729¹

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 35477

List of positive integer factors of 35477 that divides 35477 without a remainder.

1, 13, 2729

Step-4: Factors of 35490

List of positive integer factors of 35490 that divides 35477 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 35477 and 35490. The biggest common factor number is the GCF number.
So the greatest common factor 35477 and 35490 is 13.

Also check out the Least Common Multiple of 35477 and 35490