What is the Greatest Common Factor of 35508 and 35519?

Greatest common factor (GCF) of 35508 and 35519 is 11.

GCF(35508,35519) = 11

We will now calculate the prime factors of 35508 and 35519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35508 and 35519.

How to find the GCF of 35508 and 35519?

We will first find the prime factorization of 35508 and 35519. After we will calculate the factors of 35508 and 35519 and find the biggest common factor number .

Step-1: Prime Factorization of 35508

Prime factors of 35508 are 2, 3, 11, 269. Prime factorization of 35508 in exponential form is:

35508 = 2² × 3¹ × 11¹ × 269¹

Step-2: Prime Factorization of 35519

Prime factors of 35519 are 11, 3229. Prime factorization of 35519 in exponential form is:

35519 = 11¹ × 3229¹

Step-3: Factors of 35508

List of positive integer factors of 35508 that divides 35508 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 269, 538, 807, 1076, 1614, 2959, 3228, 5918, 8877, 11836, 17754

Step-4: Factors of 35519

List of positive integer factors of 35519 that divides 35508 without a remainder.

1, 11, 3229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35508 and 35519. The biggest common factor number is the GCF number.
So the greatest common factor 35508 and 35519 is 11.

Also check out the Least Common Multiple of 35508 and 35519