What is the Greatest Common Factor of 42656 and 42669?

Greatest common factor (GCF) of 42656 and 42669 is 1.

GCF(42656,42669) = 1

We will now calculate the prime factors of 42656 and 42669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42656 and 42669.

How to find the GCF of 42656 and 42669?

We will first find the prime factorization of 42656 and 42669. After we will calculate the factors of 42656 and 42669 and find the biggest common factor number .

Step-1: Prime Factorization of 42656

Prime factors of 42656 are 2, 31, 43. Prime factorization of 42656 in exponential form is:

42656 = 2⁵ × 31¹ × 43¹

Step-2: Prime Factorization of 42669

Prime factors of 42669 are 3, 11, 431. Prime factorization of 42669 in exponential form is:

42669 = 3² × 11¹ × 431¹

Step-3: Factors of 42656

List of positive integer factors of 42656 that divides 42656 without a remainder.

1, 2, 4, 8, 16, 31, 32, 43, 62, 86, 124, 172, 248, 344, 496, 688, 992, 1333, 1376, 2666, 5332, 10664, 21328

Step-4: Factors of 42669

List of positive integer factors of 42669 that divides 42656 without a remainder.

1, 3, 9, 11, 33, 99, 431, 1293, 3879, 4741, 14223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42656 and 42669. The biggest common factor number is the GCF number.
So the greatest common factor 42656 and 42669 is 1.

Also check out the Least Common Multiple of 42656 and 42669