What is the Greatest Common Factor of 42921 and 42940?

Greatest common factor (GCF) of 42921 and 42940 is 19.

GCF(42921,42940) = 19

We will now calculate the prime factors of 42921 and 42940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42921 and 42940.

How to find the GCF of 42921 and 42940?

We will first find the prime factorization of 42921 and 42940. After we will calculate the factors of 42921 and 42940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42940

Prime factors of 42940 are 2, 5, 19, 113. Prime factorization of 42940 in exponential form is:

42940 = 2² × 5¹ × 19¹ × 113¹

Step-3: Factors of 42921

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

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

Step-4: Factors of 42940

List of positive integer factors of 42940 that divides 42921 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 113, 190, 226, 380, 452, 565, 1130, 2147, 2260, 4294, 8588, 10735, 21470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42921 and 42940. The biggest common factor number is the GCF number.
So the greatest common factor 42921 and 42940 is 19.

Also check out the Least Common Multiple of 42921 and 42940