What is the Greatest Common Factor of 35508 and 35522?

Greatest common factor (GCF) of 35508 and 35522 is 2.

GCF(35508,35522) = 2

We will now calculate the prime factors of 35508 and 35522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35508 and 35522.

How to find the GCF of 35508 and 35522?

We will first find the prime factorization of 35508 and 35522. After we will calculate the factors of 35508 and 35522 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 35522

Prime factors of 35522 are 2, 17761. Prime factorization of 35522 in exponential form is:

35522 = 2¹ × 17761¹

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 35522

List of positive integer factors of 35522 that divides 35508 without a remainder.

1, 2, 17761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35508 and 35522. The biggest common factor number is the GCF number.
So the greatest common factor 35508 and 35522 is 2.

Also check out the Least Common Multiple of 35508 and 35522