What is the Greatest Common Factor of 42168 and 42175?

Greatest common factor (GCF) of 42168 and 42175 is 7.

GCF(42168,42175) = 7

We will now calculate the prime factors of 42168 and 42175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42168 and 42175.

How to find the GCF of 42168 and 42175?

We will first find the prime factorization of 42168 and 42175. After we will calculate the factors of 42168 and 42175 and find the biggest common factor number .

Step-1: Prime Factorization of 42168

Prime factors of 42168 are 2, 3, 7, 251. Prime factorization of 42168 in exponential form is:

42168 = 2³ × 3¹ × 7¹ × 251¹

Step-2: Prime Factorization of 42175

Prime factors of 42175 are 5, 7, 241. Prime factorization of 42175 in exponential form is:

42175 = 5² × 7¹ × 241¹

Step-3: Factors of 42168

List of positive integer factors of 42168 that divides 42168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 251, 502, 753, 1004, 1506, 1757, 2008, 3012, 3514, 5271, 6024, 7028, 10542, 14056, 21084

Step-4: Factors of 42175

List of positive integer factors of 42175 that divides 42168 without a remainder.

1, 5, 7, 25, 35, 175, 241, 1205, 1687, 6025, 8435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42168 and 42175. The biggest common factor number is the GCF number.
So the greatest common factor 42168 and 42175 is 7.

Also check out the Least Common Multiple of 42168 and 42175