What is the Greatest Common Factor of 35442 and 35453?

Greatest common factor (GCF) of 35442 and 35453 is 11.

GCF(35442,35453) = 11

We will now calculate the prime factors of 35442 and 35453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35442 and 35453.

How to find the GCF of 35442 and 35453?

We will first find the prime factorization of 35442 and 35453. After we will calculate the factors of 35442 and 35453 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 35453

Prime factors of 35453 are 11, 293. Prime factorization of 35453 in exponential form is:

35453 = 11² × 293¹

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 35453

List of positive integer factors of 35453 that divides 35442 without a remainder.

1, 11, 121, 293, 3223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35442 and 35453. The biggest common factor number is the GCF number.
So the greatest common factor 35442 and 35453 is 11.

Also check out the Least Common Multiple of 35442 and 35453