What is the Greatest Common Factor of 35577 and 35586?

Greatest common factor (GCF) of 35577 and 35586 is 9.

GCF(35577,35586) = 9

We will now calculate the prime factors of 35577 and 35586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35577 and 35586.

How to find the GCF of 35577 and 35586?

We will first find the prime factorization of 35577 and 35586. After we will calculate the factors of 35577 and 35586 and find the biggest common factor number .

Step-1: Prime Factorization of 35577

Prime factors of 35577 are 3, 59, 67. Prime factorization of 35577 in exponential form is:

35577 = 3² × 59¹ × 67¹

Step-2: 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-3: Factors of 35577

List of positive integer factors of 35577 that divides 35577 without a remainder.

1, 3, 9, 59, 67, 177, 201, 531, 603, 3953, 11859

Step-4: Factors of 35586

List of positive integer factors of 35586 that divides 35577 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35577 and 35586. The biggest common factor number is the GCF number.
So the greatest common factor 35577 and 35586 is 9.

Also check out the Least Common Multiple of 35577 and 35586