What is the Greatest Common Factor of 42912 and 42921?

Greatest common factor (GCF) of 42912 and 42921 is 9.

GCF(42912,42921) = 9

We will now calculate the prime factors of 42912 and 42921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42912 and 42921.

How to find the GCF of 42912 and 42921?

We will first find the prime factorization of 42912 and 42921. After we will calculate the factors of 42912 and 42921 and find the biggest common factor number .

Step-1: Prime Factorization of 42912

Prime factors of 42912 are 2, 3, 149. Prime factorization of 42912 in exponential form is:

42912 = 2⁵ × 3² × 149¹

Step-2: Prime Factorization of 42921

Prime factors of 42921 are 3, 19, 251. Prime factorization of 42921 in exponential form is:

42921 = 3² × 19¹ × 251¹

Step-3: Factors of 42912

List of positive integer factors of 42912 that divides 42912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 149, 288, 298, 447, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 4768, 5364, 7152, 10728, 14304, 21456

Step-4: Factors of 42921

List of positive integer factors of 42921 that divides 42912 without a remainder.

1, 3, 9, 19, 57, 171, 251, 753, 2259, 4769, 14307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42912 and 42921. The biggest common factor number is the GCF number.
So the greatest common factor 42912 and 42921 is 9.

Also check out the Least Common Multiple of 42912 and 42921