What is the Greatest Common Factor of 42742 and 42760?

Greatest common factor (GCF) of 42742 and 42760 is 2.

GCF(42742,42760) = 2

We will now calculate the prime factors of 42742 and 42760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42742 and 42760.

How to find the GCF of 42742 and 42760?

We will first find the prime factorization of 42742 and 42760. After we will calculate the factors of 42742 and 42760 and find the biggest common factor number .

Step-1: Prime Factorization of 42742

Prime factors of 42742 are 2, 7, 43, 71. Prime factorization of 42742 in exponential form is:

42742 = 2¹ × 7¹ × 43¹ × 71¹

Step-2: 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-3: Factors of 42742

List of positive integer factors of 42742 that divides 42742 without a remainder.

1, 2, 7, 14, 43, 71, 86, 142, 301, 497, 602, 994, 3053, 6106, 21371

Step-4: Factors of 42760

List of positive integer factors of 42760 that divides 42742 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42742 and 42760. The biggest common factor number is the GCF number.
So the greatest common factor 42742 and 42760 is 2.

Also check out the Least Common Multiple of 42742 and 42760