What is the Greatest Common Factor of 35540 and 35550?

Greatest common factor (GCF) of 35540 and 35550 is 10.

GCF(35540,35550) = 10

We will now calculate the prime factors of 35540 and 35550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35540 and 35550.

How to find the GCF of 35540 and 35550?

We will first find the prime factorization of 35540 and 35550. After we will calculate the factors of 35540 and 35550 and find the biggest common factor number .

Step-1: Prime Factorization of 35540

Prime factors of 35540 are 2, 5, 1777. Prime factorization of 35540 in exponential form is:

35540 = 2² × 5¹ × 1777¹

Step-2: 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-3: Factors of 35540

List of positive integer factors of 35540 that divides 35540 without a remainder.

1, 2, 4, 5, 10, 20, 1777, 3554, 7108, 8885, 17770

Step-4: Factors of 35550

List of positive integer factors of 35550 that divides 35540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35540 and 35550. The biggest common factor number is the GCF number.
So the greatest common factor 35540 and 35550 is 10.

Also check out the Least Common Multiple of 35540 and 35550