What is the Greatest Common Factor of 42760 and 42768?

Greatest common factor (GCF) of 42760 and 42768 is 8.

GCF(42760,42768) = 8

We will now calculate the prime factors of 42760 and 42768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42760 and 42768.

How to find the GCF of 42760 and 42768?

We will first find the prime factorization of 42760 and 42768. After we will calculate the factors of 42760 and 42768 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 42768

Prime factors of 42768 are 2, 3, 11. Prime factorization of 42768 in exponential form is:

42768 = 2⁴ × 3⁵ × 11¹

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 42768

List of positive integer factors of 42768 that divides 42760 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 81, 88, 99, 108, 132, 144, 162, 176, 198, 216, 243, 264, 297, 324, 396, 432, 486, 528, 594, 648, 792, 891, 972, 1188, 1296, 1584, 1782, 1944, 2376, 2673, 3564, 3888, 4752, 5346, 7128, 10692, 14256, 21384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42760 and 42768. The biggest common factor number is the GCF number.
So the greatest common factor 42760 and 42768 is 8.

Also check out the Least Common Multiple of 42760 and 42768