What is the Greatest Common Factor of 35075 and 35090?

Greatest common factor (GCF) of 35075 and 35090 is 5.

GCF(35075,35090) = 5

We will now calculate the prime factors of 35075 and 35090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35075 and 35090.

How to find the GCF of 35075 and 35090?

We will first find the prime factorization of 35075 and 35090. After we will calculate the factors of 35075 and 35090 and find the biggest common factor number .

Step-1: Prime Factorization of 35075

Prime factors of 35075 are 5, 23, 61. Prime factorization of 35075 in exponential form is:

35075 = 5² × 23¹ × 61¹

Step-2: 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-3: Factors of 35075

List of positive integer factors of 35075 that divides 35075 without a remainder.

1, 5, 23, 25, 61, 115, 305, 575, 1403, 1525, 7015

Step-4: Factors of 35090

List of positive integer factors of 35090 that divides 35075 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35075 and 35090. The biggest common factor number is the GCF number.
So the greatest common factor 35075 and 35090 is 5.

Also check out the Least Common Multiple of 35075 and 35090