What is the Greatest Common Factor of 42414 and 42430?

Greatest common factor (GCF) of 42414 and 42430 is 2.

GCF(42414,42430) = 2

We will now calculate the prime factors of 42414 and 42430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42414 and 42430.

How to find the GCF of 42414 and 42430?

We will first find the prime factorization of 42414 and 42430. After we will calculate the factors of 42414 and 42430 and find the biggest common factor number .

Step-1: Prime Factorization of 42414

Prime factors of 42414 are 2, 3, 7069. Prime factorization of 42414 in exponential form is:

42414 = 2¹ × 3¹ × 7069¹

Step-2: Prime Factorization of 42430

Prime factors of 42430 are 2, 5, 4243. Prime factorization of 42430 in exponential form is:

42430 = 2¹ × 5¹ × 4243¹

Step-3: Factors of 42414

List of positive integer factors of 42414 that divides 42414 without a remainder.

1, 2, 3, 6, 7069, 14138, 21207

Step-4: Factors of 42430

List of positive integer factors of 42430 that divides 42414 without a remainder.

1, 2, 5, 10, 4243, 8486, 21215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42414 and 42430. The biggest common factor number is the GCF number.
So the greatest common factor 42414 and 42430 is 2.

Also check out the Least Common Multiple of 42414 and 42430