What is the Greatest Common Factor of 35442 and 35446?

Greatest common factor (GCF) of 35442 and 35446 is 2.

GCF(35442,35446) = 2

We will now calculate the prime factors of 35442 and 35446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35442 and 35446.

How to find the GCF of 35442 and 35446?

We will first find the prime factorization of 35442 and 35446. After we will calculate the factors of 35442 and 35446 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35446

Prime factors of 35446 are 2, 37, 479. Prime factorization of 35446 in exponential form is:

35446 = 2¹ × 37¹ × 479¹

Step-3: Factors of 35442

List of positive integer factors of 35442 that divides 35442 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

Step-4: Factors of 35446

List of positive integer factors of 35446 that divides 35442 without a remainder.

1, 2, 37, 74, 479, 958, 17723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35442 and 35446. The biggest common factor number is the GCF number.
So the greatest common factor 35442 and 35446 is 2.

Also check out the Least Common Multiple of 35442 and 35446