What is the Greatest Common Factor of 42940 and 42950?

Greatest common factor (GCF) of 42940 and 42950 is 10.

GCF(42940,42950) = 10

We will now calculate the prime factors of 42940 and 42950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42940 and 42950.

How to find the GCF of 42940 and 42950?

We will first find the prime factorization of 42940 and 42950. After we will calculate the factors of 42940 and 42950 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 42950

Prime factors of 42950 are 2, 5, 859. Prime factorization of 42950 in exponential form is:

42950 = 2¹ × 5² × 859¹

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 42950

List of positive integer factors of 42950 that divides 42940 without a remainder.

1, 2, 5, 10, 25, 50, 859, 1718, 4295, 8590, 21475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42940 and 42950. The biggest common factor number is the GCF number.
So the greatest common factor 42940 and 42950 is 10.

Also check out the Least Common Multiple of 42940 and 42950