What is the Greatest Common Factor of 35442 and 35447?

Greatest common factor (GCF) of 35442 and 35447 is 1.

GCF(35442,35447) = 1

We will now calculate the prime factors of 35442 and 35447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35442 and 35447.

How to find the GCF of 35442 and 35447?

We will first find the prime factorization of 35442 and 35447. After we will calculate the factors of 35442 and 35447 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 35447

Prime factors of 35447 are 35447. Prime factorization of 35447 in exponential form is:

35447 = 35447¹

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 35447

List of positive integer factors of 35447 that divides 35442 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35442 and 35447. The biggest common factor number is the GCF number.
So the greatest common factor 35442 and 35447 is 1.

Also check out the Least Common Multiple of 35442 and 35447