What is the Greatest Common Factor of 35090 and 35110?

Greatest common factor (GCF) of 35090 and 35110 is 10.

GCF(35090,35110) = 10

We will now calculate the prime factors of 35090 and 35110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35090 and 35110.

How to find the GCF of 35090 and 35110?

We will first find the prime factorization of 35090 and 35110. After we will calculate the factors of 35090 and 35110 and find the biggest common factor number .

Step-1: Prime Factorization of 35090

Prime factors of 35090 are 2, 5, 11, 29. Prime factorization of 35090 in exponential form is:

35090 = 2¹ × 5¹ × 11² × 29¹

Step-2: Prime Factorization of 35110

Prime factors of 35110 are 2, 5, 3511. Prime factorization of 35110 in exponential form is:

35110 = 2¹ × 5¹ × 3511¹

Step-3: Factors of 35090

List of positive integer factors of 35090 that divides 35090 without a remainder.

1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 121, 145, 242, 290, 319, 605, 638, 1210, 1595, 3190, 3509, 7018, 17545

Step-4: Factors of 35110

List of positive integer factors of 35110 that divides 35090 without a remainder.

1, 2, 5, 10, 3511, 7022, 17555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35090 and 35110. The biggest common factor number is the GCF number.
So the greatest common factor 35090 and 35110 is 10.

Also check out the Least Common Multiple of 35090 and 35110