What is the Greatest Common Factor of 42295 and 42306?

Greatest common factor (GCF) of 42295 and 42306 is 11.

GCF(42295,42306) = 11

We will now calculate the prime factors of 42295 and 42306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42295 and 42306.

How to find the GCF of 42295 and 42306?

We will first find the prime factorization of 42295 and 42306. After we will calculate the factors of 42295 and 42306 and find the biggest common factor number .

Step-1: Prime Factorization of 42295

Prime factors of 42295 are 5, 11, 769. Prime factorization of 42295 in exponential form is:

42295 = 5¹ × 11¹ × 769¹

Step-2: Prime Factorization of 42306

Prime factors of 42306 are 2, 3, 11, 641. Prime factorization of 42306 in exponential form is:

42306 = 2¹ × 3¹ × 11¹ × 641¹

Step-3: Factors of 42295

List of positive integer factors of 42295 that divides 42295 without a remainder.

1, 5, 11, 55, 769, 3845, 8459

Step-4: Factors of 42306

List of positive integer factors of 42306 that divides 42295 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 641, 1282, 1923, 3846, 7051, 14102, 21153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42295 and 42306. The biggest common factor number is the GCF number.
So the greatest common factor 42295 and 42306 is 11.

Also check out the Least Common Multiple of 42295 and 42306