What is the Greatest Common Factor of 35390 and 35410?

Greatest common factor (GCF) of 35390 and 35410 is 10.

GCF(35390,35410) = 10

We will now calculate the prime factors of 35390 and 35410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35390 and 35410.

How to find the GCF of 35390 and 35410?

We will first find the prime factorization of 35390 and 35410. After we will calculate the factors of 35390 and 35410 and find the biggest common factor number .

Step-1: Prime Factorization of 35390

Prime factors of 35390 are 2, 5, 3539. Prime factorization of 35390 in exponential form is:

35390 = 2¹ × 5¹ × 3539¹

Step-2: Prime Factorization of 35410

Prime factors of 35410 are 2, 5, 3541. Prime factorization of 35410 in exponential form is:

35410 = 2¹ × 5¹ × 3541¹

Step-3: Factors of 35390

List of positive integer factors of 35390 that divides 35390 without a remainder.

1, 2, 5, 10, 3539, 7078, 17695

Step-4: Factors of 35410

List of positive integer factors of 35410 that divides 35390 without a remainder.

1, 2, 5, 10, 3541, 7082, 17705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35390 and 35410. The biggest common factor number is the GCF number.
So the greatest common factor 35390 and 35410 is 10.

Also check out the Least Common Multiple of 35390 and 35410