What is the Greatest Common Factor of 42940 and 42955?

Greatest common factor (GCF) of 42940 and 42955 is 5.

GCF(42940,42955) = 5

We will now calculate the prime factors of 42940 and 42955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42940 and 42955.

How to find the GCF of 42940 and 42955?

We will first find the prime factorization of 42940 and 42955. After we will calculate the factors of 42940 and 42955 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 42955

Prime factors of 42955 are 5, 11, 71. Prime factorization of 42955 in exponential form is:

42955 = 5¹ × 11² × 71¹

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 42955

List of positive integer factors of 42955 that divides 42940 without a remainder.

1, 5, 11, 55, 71, 121, 355, 605, 781, 3905, 8591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42940 and 42955. The biggest common factor number is the GCF number.
So the greatest common factor 42940 and 42955 is 5.

Also check out the Least Common Multiple of 42940 and 42955