What is the Greatest Common Factor of 42757 and 42768?

Greatest common factor (GCF) of 42757 and 42768 is 11.

GCF(42757,42768) = 11

We will now calculate the prime factors of 42757 and 42768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42757 and 42768.

How to find the GCF of 42757 and 42768?

We will first find the prime factorization of 42757 and 42768. After we will calculate the factors of 42757 and 42768 and find the biggest common factor number .

Step-1: Prime Factorization of 42757

Prime factors of 42757 are 11, 13, 23. Prime factorization of 42757 in exponential form is:

42757 = 11¹ × 13² × 23¹

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 42757

List of positive integer factors of 42757 that divides 42757 without a remainder.

1, 11, 13, 23, 143, 169, 253, 299, 1859, 3289, 3887

Step-4: Factors of 42768

List of positive integer factors of 42768 that divides 42757 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 42757 and 42768. The biggest common factor number is the GCF number.
So the greatest common factor 42757 and 42768 is 11.

Also check out the Least Common Multiple of 42757 and 42768