What is the Greatest Common Factor of 42942 and 42957?

Greatest common factor (GCF) of 42942 and 42957 is 3.

GCF(42942,42957) = 3

We will now calculate the prime factors of 42942 and 42957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42942 and 42957.

How to find the GCF of 42942 and 42957?

We will first find the prime factorization of 42942 and 42957. After we will calculate the factors of 42942 and 42957 and find the biggest common factor number .

Step-1: Prime Factorization of 42942

Prime factors of 42942 are 2, 3, 17, 421. Prime factorization of 42942 in exponential form is:

42942 = 2¹ × 3¹ × 17¹ × 421¹

Step-2: Prime Factorization of 42957

Prime factors of 42957 are 3, 37, 43. Prime factorization of 42957 in exponential form is:

42957 = 3³ × 37¹ × 43¹

Step-3: Factors of 42942

List of positive integer factors of 42942 that divides 42942 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 421, 842, 1263, 2526, 7157, 14314, 21471

Step-4: Factors of 42957

List of positive integer factors of 42957 that divides 42942 without a remainder.

1, 3, 9, 27, 37, 43, 111, 129, 333, 387, 999, 1161, 1591, 4773, 14319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42942 and 42957. The biggest common factor number is the GCF number.
So the greatest common factor 42942 and 42957 is 3.

Also check out the Least Common Multiple of 42942 and 42957