What is the Greatest Common Factor of 75824 and 75831?

Greatest common factor (GCF) of 75824 and 75831 is 7.

GCF(75824,75831) = 7

We will now calculate the prime factors of 75824 and 75831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75824 and 75831.

How to find the GCF of 75824 and 75831?

We will first find the prime factorization of 75824 and 75831. After we will calculate the factors of 75824 and 75831 and find the biggest common factor number .

Step-1: Prime Factorization of 75824

Prime factors of 75824 are 2, 7, 677. Prime factorization of 75824 in exponential form is:

75824 = 2⁴ × 7¹ × 677¹

Step-2: Prime Factorization of 75831

Prime factors of 75831 are 3, 7, 23, 157. Prime factorization of 75831 in exponential form is:

75831 = 3¹ × 7¹ × 23¹ × 157¹

Step-3: Factors of 75824

List of positive integer factors of 75824 that divides 75824 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 677, 1354, 2708, 4739, 5416, 9478, 10832, 18956, 37912

Step-4: Factors of 75831

List of positive integer factors of 75831 that divides 75824 without a remainder.

1, 3, 7, 21, 23, 69, 157, 161, 471, 483, 1099, 3297, 3611, 10833, 25277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75824 and 75831. The biggest common factor number is the GCF number.
So the greatest common factor 75824 and 75831 is 7.

Also check out the Least Common Multiple of 75824 and 75831