What is the Greatest Common Factor of 35586 and 35604?

Greatest common factor (GCF) of 35586 and 35604 is 18.

GCF(35586,35604) = 18

We will now calculate the prime factors of 35586 and 35604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35586 and 35604.

How to find the GCF of 35586 and 35604?

We will first find the prime factorization of 35586 and 35604. After we will calculate the factors of 35586 and 35604 and find the biggest common factor number .

Step-1: Prime Factorization of 35586

Prime factors of 35586 are 2, 3, 659. Prime factorization of 35586 in exponential form is:

35586 = 2¹ × 3³ × 659¹

Step-2: Prime Factorization of 35604

Prime factors of 35604 are 2, 3, 23, 43. Prime factorization of 35604 in exponential form is:

35604 = 2² × 3² × 23¹ × 43¹

Step-3: Factors of 35586

List of positive integer factors of 35586 that divides 35586 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 659, 1318, 1977, 3954, 5931, 11862, 17793

Step-4: Factors of 35604

List of positive integer factors of 35604 that divides 35586 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 43, 46, 69, 86, 92, 129, 138, 172, 207, 258, 276, 387, 414, 516, 774, 828, 989, 1548, 1978, 2967, 3956, 5934, 8901, 11868, 17802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35586 and 35604. The biggest common factor number is the GCF number.
So the greatest common factor 35586 and 35604 is 18.

Also check out the Least Common Multiple of 35586 and 35604