What is the Greatest Common Factor of 75854 and 75871?

Greatest common factor (GCF) of 75854 and 75871 is 17.

GCF(75854,75871) = 17

We will now calculate the prime factors of 75854 and 75871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75854 and 75871.

How to find the GCF of 75854 and 75871?

We will first find the prime factorization of 75854 and 75871. After we will calculate the factors of 75854 and 75871 and find the biggest common factor number .

Step-1: Prime Factorization of 75854

Prime factors of 75854 are 2, 17, 23, 97. Prime factorization of 75854 in exponential form is:

75854 = 2¹ × 17¹ × 23¹ × 97¹

Step-2: Prime Factorization of 75871

Prime factors of 75871 are 17, 4463. Prime factorization of 75871 in exponential form is:

75871 = 17¹ × 4463¹

Step-3: Factors of 75854

List of positive integer factors of 75854 that divides 75854 without a remainder.

1, 2, 17, 23, 34, 46, 97, 194, 391, 782, 1649, 2231, 3298, 4462, 37927

Step-4: Factors of 75871

List of positive integer factors of 75871 that divides 75854 without a remainder.

1, 17, 4463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75854 and 75871. The biggest common factor number is the GCF number.
So the greatest common factor 75854 and 75871 is 17.

Also check out the Least Common Multiple of 75854 and 75871