What is the Greatest Common Factor of 42940 and 42944?

Greatest common factor (GCF) of 42940 and 42944 is 4.

GCF(42940,42944) = 4

We will now calculate the prime factors of 42940 and 42944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42940 and 42944.

How to find the GCF of 42940 and 42944?

We will first find the prime factorization of 42940 and 42944. After we will calculate the factors of 42940 and 42944 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42944

Prime factors of 42944 are 2, 11, 61. Prime factorization of 42944 in exponential form is:

42944 = 2⁶ × 11¹ × 61¹

Step-3: Factors of 42940

List of positive integer factors of 42940 that divides 42940 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

Step-4: Factors of 42944

List of positive integer factors of 42944 that divides 42940 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 61, 64, 88, 122, 176, 244, 352, 488, 671, 704, 976, 1342, 1952, 2684, 3904, 5368, 10736, 21472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42940 and 42944. The biggest common factor number is the GCF number.
So the greatest common factor 42940 and 42944 is 4.

Also check out the Least Common Multiple of 42940 and 42944