What is the Greatest Common Factor of 42568 and 42582?

Greatest common factor (GCF) of 42568 and 42582 is 2.

GCF(42568,42582) = 2

We will now calculate the prime factors of 42568 and 42582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42568 and 42582.

How to find the GCF of 42568 and 42582?

We will first find the prime factorization of 42568 and 42582. After we will calculate the factors of 42568 and 42582 and find the biggest common factor number .

Step-1: Prime Factorization of 42568

Prime factors of 42568 are 2, 17, 313. Prime factorization of 42568 in exponential form is:

42568 = 2³ × 17¹ × 313¹

Step-2: Prime Factorization of 42582

Prime factors of 42582 are 2, 3, 47, 151. Prime factorization of 42582 in exponential form is:

42582 = 2¹ × 3¹ × 47¹ × 151¹

Step-3: Factors of 42568

List of positive integer factors of 42568 that divides 42568 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 313, 626, 1252, 2504, 5321, 10642, 21284

Step-4: Factors of 42582

List of positive integer factors of 42582 that divides 42568 without a remainder.

1, 2, 3, 6, 47, 94, 141, 151, 282, 302, 453, 906, 7097, 14194, 21291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42568 and 42582. The biggest common factor number is the GCF number.
So the greatest common factor 42568 and 42582 is 2.

Also check out the Least Common Multiple of 42568 and 42582