What is the Greatest Common Factor of 35510 and 35523?

Greatest common factor (GCF) of 35510 and 35523 is 1.

GCF(35510,35523) = 1

We will now calculate the prime factors of 35510 and 35523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35510 and 35523.

How to find the GCF of 35510 and 35523?

We will first find the prime factorization of 35510 and 35523. After we will calculate the factors of 35510 and 35523 and find the biggest common factor number .

Step-1: Prime Factorization of 35510

Prime factors of 35510 are 2, 5, 53, 67. Prime factorization of 35510 in exponential form is:

35510 = 2¹ × 5¹ × 53¹ × 67¹

Step-2: Prime Factorization of 35523

Prime factors of 35523 are 3, 3947. Prime factorization of 35523 in exponential form is:

35523 = 3² × 3947¹

Step-3: Factors of 35510

List of positive integer factors of 35510 that divides 35510 without a remainder.

1, 2, 5, 10, 53, 67, 106, 134, 265, 335, 530, 670, 3551, 7102, 17755

Step-4: Factors of 35523

List of positive integer factors of 35523 that divides 35510 without a remainder.

1, 3, 9, 3947, 11841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35510 and 35523. The biggest common factor number is the GCF number.
So the greatest common factor 35510 and 35523 is 1.

Also check out the Least Common Multiple of 35510 and 35523