What is the Greatest Common Factor of 42884 and 42904?

Greatest common factor (GCF) of 42884 and 42904 is 4.

GCF(42884,42904) = 4

We will now calculate the prime factors of 42884 and 42904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42884 and 42904.

How to find the GCF of 42884 and 42904?

We will first find the prime factorization of 42884 and 42904. After we will calculate the factors of 42884 and 42904 and find the biggest common factor number .

Step-1: Prime Factorization of 42884

Prime factors of 42884 are 2, 71, 151. Prime factorization of 42884 in exponential form is:

42884 = 2² × 71¹ × 151¹

Step-2: Prime Factorization of 42904

Prime factors of 42904 are 2, 31, 173. Prime factorization of 42904 in exponential form is:

42904 = 2³ × 31¹ × 173¹

Step-3: Factors of 42884

List of positive integer factors of 42884 that divides 42884 without a remainder.

1, 2, 4, 71, 142, 151, 284, 302, 604, 10721, 21442

Step-4: Factors of 42904

List of positive integer factors of 42904 that divides 42884 without a remainder.

1, 2, 4, 8, 31, 62, 124, 173, 248, 346, 692, 1384, 5363, 10726, 21452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42884 and 42904. The biggest common factor number is the GCF number.
So the greatest common factor 42884 and 42904 is 4.

Also check out the Least Common Multiple of 42884 and 42904