What is the Greatest Common Factor of 35490 and 35505?

Greatest common factor (GCF) of 35490 and 35505 is 15.

GCF(35490,35505) = 15

We will now calculate the prime factors of 35490 and 35505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35490 and 35505.

How to find the GCF of 35490 and 35505?

We will first find the prime factorization of 35490 and 35505. After we will calculate the factors of 35490 and 35505 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 35505

Prime factors of 35505 are 3, 5, 263. Prime factorization of 35505 in exponential form is:

35505 = 3³ × 5¹ × 263¹

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 35505

List of positive integer factors of 35505 that divides 35490 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 263, 789, 1315, 2367, 3945, 7101, 11835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35490 and 35505. The biggest common factor number is the GCF number.
So the greatest common factor 35490 and 35505 is 15.

Also check out the Least Common Multiple of 35490 and 35505