What is the Greatest Common Factor of 35222 and 35242?

Greatest common factor (GCF) of 35222 and 35242 is 2.

GCF(35222,35242) = 2

We will now calculate the prime factors of 35222 and 35242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35222 and 35242.

How to find the GCF of 35222 and 35242?

We will first find the prime factorization of 35222 and 35242. After we will calculate the factors of 35222 and 35242 and find the biggest common factor number .

Step-1: Prime Factorization of 35222

Prime factors of 35222 are 2, 11, 1601. Prime factorization of 35222 in exponential form is:

35222 = 2¹ × 11¹ × 1601¹

Step-2: Prime Factorization of 35242

Prime factors of 35242 are 2, 67, 263. Prime factorization of 35242 in exponential form is:

35242 = 2¹ × 67¹ × 263¹

Step-3: Factors of 35222

List of positive integer factors of 35222 that divides 35222 without a remainder.

1, 2, 11, 22, 1601, 3202, 17611

Step-4: Factors of 35242

List of positive integer factors of 35242 that divides 35222 without a remainder.

1, 2, 67, 134, 263, 526, 17621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35222 and 35242. The biggest common factor number is the GCF number.
So the greatest common factor 35222 and 35242 is 2.

Also check out the Least Common Multiple of 35222 and 35242