What is the Greatest Common Factor of 35490 and 35495?

Greatest common factor (GCF) of 35490 and 35495 is 5.

GCF(35490,35495) = 5

We will now calculate the prime factors of 35490 and 35495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35490 and 35495.

How to find the GCF of 35490 and 35495?

We will first find the prime factorization of 35490 and 35495. After we will calculate the factors of 35490 and 35495 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 35495

Prime factors of 35495 are 5, 31, 229. Prime factorization of 35495 in exponential form is:

35495 = 5¹ × 31¹ × 229¹

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 35495

List of positive integer factors of 35495 that divides 35490 without a remainder.

1, 5, 31, 155, 229, 1145, 7099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35490 and 35495. The biggest common factor number is the GCF number.
So the greatest common factor 35490 and 35495 is 5.

Also check out the Least Common Multiple of 35490 and 35495