What is the Greatest Common Factor of 42959 and 42978?

Greatest common factor (GCF) of 42959 and 42978 is 19.

GCF(42959,42978) = 19

We will now calculate the prime factors of 42959 and 42978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42959 and 42978.

How to find the GCF of 42959 and 42978?

We will first find the prime factorization of 42959 and 42978. After we will calculate the factors of 42959 and 42978 and find the biggest common factor number .

Step-1: Prime Factorization of 42959

Prime factors of 42959 are 7, 17, 19. Prime factorization of 42959 in exponential form is:

42959 = 7¹ × 17¹ × 19²

Step-2: Prime Factorization of 42978

Prime factors of 42978 are 2, 3, 13, 19, 29. Prime factorization of 42978 in exponential form is:

42978 = 2¹ × 3¹ × 13¹ × 19¹ × 29¹

Step-3: Factors of 42959

List of positive integer factors of 42959 that divides 42959 without a remainder.

1, 7, 17, 19, 119, 133, 323, 361, 2261, 2527, 6137

Step-4: Factors of 42978

List of positive integer factors of 42978 that divides 42959 without a remainder.

1, 2, 3, 6, 13, 19, 26, 29, 38, 39, 57, 58, 78, 87, 114, 174, 247, 377, 494, 551, 741, 754, 1102, 1131, 1482, 1653, 2262, 3306, 7163, 14326, 21489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42959 and 42978. The biggest common factor number is the GCF number.
So the greatest common factor 42959 and 42978 is 19.

Also check out the Least Common Multiple of 42959 and 42978