What is the Greatest Common Factor of 35594 and 35610?

Greatest common factor (GCF) of 35594 and 35610 is 2.

GCF(35594,35610) = 2

We will now calculate the prime factors of 35594 and 35610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35594 and 35610.

How to find the GCF of 35594 and 35610?

We will first find the prime factorization of 35594 and 35610. After we will calculate the factors of 35594 and 35610 and find the biggest common factor number .

Step-1: Prime Factorization of 35594

Prime factors of 35594 are 2, 13, 37. Prime factorization of 35594 in exponential form is:

35594 = 2¹ × 13¹ × 37²

Step-2: Prime Factorization of 35610

Prime factors of 35610 are 2, 3, 5, 1187. Prime factorization of 35610 in exponential form is:

35610 = 2¹ × 3¹ × 5¹ × 1187¹

Step-3: Factors of 35594

List of positive integer factors of 35594 that divides 35594 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962, 1369, 2738, 17797

Step-4: Factors of 35610

List of positive integer factors of 35610 that divides 35594 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1187, 2374, 3561, 5935, 7122, 11870, 17805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35594 and 35610. The biggest common factor number is the GCF number.
So the greatest common factor 35594 and 35610 is 2.

Also check out the Least Common Multiple of 35594 and 35610