What is the Greatest Common Factor of 42586 and 42592?

Greatest common factor (GCF) of 42586 and 42592 is 2.

GCF(42586,42592) = 2

We will now calculate the prime factors of 42586 and 42592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42586 and 42592.

How to find the GCF of 42586 and 42592?

We will first find the prime factorization of 42586 and 42592. After we will calculate the factors of 42586 and 42592 and find the biggest common factor number .

Step-1: Prime Factorization of 42586

Prime factors of 42586 are 2, 107, 199. Prime factorization of 42586 in exponential form is:

42586 = 2¹ × 107¹ × 199¹

Step-2: Prime Factorization of 42592

Prime factors of 42592 are 2, 11. Prime factorization of 42592 in exponential form is:

42592 = 2⁵ × 11³

Step-3: Factors of 42586

List of positive integer factors of 42586 that divides 42586 without a remainder.

1, 2, 107, 199, 214, 398, 21293

Step-4: Factors of 42592

List of positive integer factors of 42592 that divides 42586 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 968, 1331, 1936, 2662, 3872, 5324, 10648, 21296

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42586 and 42592. The biggest common factor number is the GCF number.
So the greatest common factor 42586 and 42592 is 2.

Also check out the Least Common Multiple of 42586 and 42592