What is the Greatest Common Factor of 42034 and 42040?

Greatest common factor (GCF) of 42034 and 42040 is 2.

GCF(42034,42040) = 2

We will now calculate the prime factors of 42034 and 42040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42034 and 42040.

How to find the GCF of 42034 and 42040?

We will first find the prime factorization of 42034 and 42040. After we will calculate the factors of 42034 and 42040 and find the biggest common factor number .

Step-1: Prime Factorization of 42034

Prime factors of 42034 are 2, 21017. Prime factorization of 42034 in exponential form is:

42034 = 2¹ × 21017¹

Step-2: Prime Factorization of 42040

Prime factors of 42040 are 2, 5, 1051. Prime factorization of 42040 in exponential form is:

42040 = 2³ × 5¹ × 1051¹

Step-3: Factors of 42034

List of positive integer factors of 42034 that divides 42034 without a remainder.

1, 2, 21017

Step-4: Factors of 42040

List of positive integer factors of 42040 that divides 42034 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1051, 2102, 4204, 5255, 8408, 10510, 21020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42034 and 42040. The biggest common factor number is the GCF number.
So the greatest common factor 42034 and 42040 is 2.

Also check out the Least Common Multiple of 42034 and 42040