What is the Greatest Common Factor of 42925 and 42942?

Greatest common factor (GCF) of 42925 and 42942 is 17.

GCF(42925,42942) = 17

We will now calculate the prime factors of 42925 and 42942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42925 and 42942.

How to find the GCF of 42925 and 42942?

We will first find the prime factorization of 42925 and 42942. After we will calculate the factors of 42925 and 42942 and find the biggest common factor number .

Step-1: Prime Factorization of 42925

Prime factors of 42925 are 5, 17, 101. Prime factorization of 42925 in exponential form is:

42925 = 5² × 17¹ × 101¹

Step-2: 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-3: Factors of 42925

List of positive integer factors of 42925 that divides 42925 without a remainder.

1, 5, 17, 25, 85, 101, 425, 505, 1717, 2525, 8585

Step-4: Factors of 42942

List of positive integer factors of 42942 that divides 42925 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42925 and 42942. The biggest common factor number is the GCF number.
So the greatest common factor 42925 and 42942 is 17.

Also check out the Least Common Multiple of 42925 and 42942