What is the Greatest Common Factor of 42414 and 42431?

Greatest common factor (GCF) of 42414 and 42431 is 1.

GCF(42414,42431) = 1

We will now calculate the prime factors of 42414 and 42431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42414 and 42431.

How to find the GCF of 42414 and 42431?

We will first find the prime factorization of 42414 and 42431. After we will calculate the factors of 42414 and 42431 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 42431

Prime factors of 42431 are 151, 281. Prime factorization of 42431 in exponential form is:

42431 = 151¹ × 281¹

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 42431

List of positive integer factors of 42431 that divides 42414 without a remainder.

1, 151, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42414 and 42431. The biggest common factor number is the GCF number.
So the greatest common factor 42414 and 42431 is 1.

Also check out the Least Common Multiple of 42414 and 42431