What is the Greatest Common Factor of 35550 and 35564?

Greatest common factor (GCF) of 35550 and 35564 is 2.

GCF(35550,35564) = 2

We will now calculate the prime factors of 35550 and 35564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35550 and 35564.

How to find the GCF of 35550 and 35564?

We will first find the prime factorization of 35550 and 35564. After we will calculate the factors of 35550 and 35564 and find the biggest common factor number .

Step-1: Prime Factorization of 35550

Prime factors of 35550 are 2, 3, 5, 79. Prime factorization of 35550 in exponential form is:

35550 = 2¹ × 3² × 5² × 79¹

Step-2: Prime Factorization of 35564

Prime factors of 35564 are 2, 17, 523. Prime factorization of 35564 in exponential form is:

35564 = 2² × 17¹ × 523¹

Step-3: Factors of 35550

List of positive integer factors of 35550 that divides 35550 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 79, 90, 150, 158, 225, 237, 395, 450, 474, 711, 790, 1185, 1422, 1975, 2370, 3555, 3950, 5925, 7110, 11850, 17775

Step-4: Factors of 35564

List of positive integer factors of 35564 that divides 35550 without a remainder.

1, 2, 4, 17, 34, 68, 523, 1046, 2092, 8891, 17782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35550 and 35564. The biggest common factor number is the GCF number.
So the greatest common factor 35550 and 35564 is 2.

Also check out the Least Common Multiple of 35550 and 35564