GCF and LCM Calculator Logo

What is the Greatest Common Factor of 42342 and 42350?

Greatest common factor (GCF) of 42342 and 42350 is 2.

GCF(42342,42350) = 2

We will now calculate the prime factors of 42342 and 42350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42342 and 42350.

GCF Calculator and
and

How to find the GCF of 42342 and 42350?

We will first find the prime factorization of 42342 and 42350. After we will calculate the factors of 42342 and 42350 and find the biggest common factor number .

Step-1: Prime Factorization of 42342

Prime factors of 42342 are 2, 3, 7057. Prime factorization of 42342 in exponential form is:

42342 = 21 × 31 × 70571

Step-2: Prime Factorization of 42350

Prime factors of 42350 are 2, 5, 7, 11. Prime factorization of 42350 in exponential form is:

42350 = 21 × 52 × 71 × 112

Step-3: Factors of 42342

List of positive integer factors of 42342 that divides 42342 without a remainder.

1, 2, 3, 6, 7057, 14114, 21171

Step-4: Factors of 42350

List of positive integer factors of 42350 that divides 42342 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 121, 154, 175, 242, 275, 350, 385, 550, 605, 770, 847, 1210, 1694, 1925, 3025, 3850, 4235, 6050, 8470, 21175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42342 and 42350. The biggest common factor number is the GCF number.
So the greatest common factor 42342 and 42350 is 2.

Also check out the Least Common Multiple of 42342 and 42350