What is the Greatest Common Factor of 42760 and 42766?

Greatest common factor (GCF) of 42760 and 42766 is 2.

GCF(42760,42766) = 2

We will now calculate the prime factors of 42760 and 42766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42760 and 42766.

How to find the GCF of 42760 and 42766?

We will first find the prime factorization of 42760 and 42766. After we will calculate the factors of 42760 and 42766 and find the biggest common factor number .

Step-1: Prime Factorization of 42760

Prime factors of 42760 are 2, 5, 1069. Prime factorization of 42760 in exponential form is:

42760 = 2³ × 5¹ × 1069¹

Step-2: Prime Factorization of 42766

Prime factors of 42766 are 2, 21383. Prime factorization of 42766 in exponential form is:

42766 = 2¹ × 21383¹

Step-3: Factors of 42760

List of positive integer factors of 42760 that divides 42760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1069, 2138, 4276, 5345, 8552, 10690, 21380

Step-4: Factors of 42766

List of positive integer factors of 42766 that divides 42760 without a remainder.

1, 2, 21383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42760 and 42766. The biggest common factor number is the GCF number.
So the greatest common factor 42760 and 42766 is 2.

Also check out the Least Common Multiple of 42760 and 42766