What is the Greatest Common Factor of 71834 and 71854?

Greatest common factor (GCF) of 71834 and 71854 is 2.

GCF(71834,71854) = 2

We will now calculate the prime factors of 71834 and 71854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71834 and 71854.

How to find the GCF of 71834 and 71854?

We will first find the prime factorization of 71834 and 71854. After we will calculate the factors of 71834 and 71854 and find the biggest common factor number .

Step-1: Prime Factorization of 71834

Prime factors of 71834 are 2, 7, 733. Prime factorization of 71834 in exponential form is:

71834 = 2¹ × 7² × 733¹

Step-2: Prime Factorization of 71854

Prime factors of 71854 are 2, 37, 971. Prime factorization of 71854 in exponential form is:

71854 = 2¹ × 37¹ × 971¹

Step-3: Factors of 71834

List of positive integer factors of 71834 that divides 71834 without a remainder.

1, 2, 7, 14, 49, 98, 733, 1466, 5131, 10262, 35917

Step-4: Factors of 71854

List of positive integer factors of 71854 that divides 71834 without a remainder.

1, 2, 37, 74, 971, 1942, 35927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71834 and 71854. The biggest common factor number is the GCF number.
So the greatest common factor 71834 and 71854 is 2.

Also check out the Least Common Multiple of 71834 and 71854