What is the Greatest Common Factor of 35422 and 35442?

Greatest common factor (GCF) of 35422 and 35442 is 2.

GCF(35422,35442) = 2

We will now calculate the prime factors of 35422 and 35442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35422 and 35442.

How to find the GCF of 35422 and 35442?

We will first find the prime factorization of 35422 and 35442. After we will calculate the factors of 35422 and 35442 and find the biggest common factor number .

Step-1: Prime Factorization of 35422

Prime factors of 35422 are 2, 89, 199. Prime factorization of 35422 in exponential form is:

35422 = 2¹ × 89¹ × 199¹

Step-2: Prime Factorization of 35442

Prime factors of 35442 are 2, 3, 11, 179. Prime factorization of 35442 in exponential form is:

35442 = 2¹ × 3² × 11¹ × 179¹

Step-3: Factors of 35422

List of positive integer factors of 35422 that divides 35422 without a remainder.

1, 2, 89, 178, 199, 398, 17711

Step-4: Factors of 35442

List of positive integer factors of 35442 that divides 35422 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 179, 198, 358, 537, 1074, 1611, 1969, 3222, 3938, 5907, 11814, 17721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35422 and 35442. The biggest common factor number is the GCF number.
So the greatest common factor 35422 and 35442 is 2.

Also check out the Least Common Multiple of 35422 and 35442