What is the Greatest Common Factor of 88536 and 88543?

Greatest common factor (GCF) of 88536 and 88543 is 7.

GCF(88536,88543) = 7

We will now calculate the prime factors of 88536 and 88543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88536 and 88543.

How to find the GCF of 88536 and 88543?

We will first find the prime factorization of 88536 and 88543. After we will calculate the factors of 88536 and 88543 and find the biggest common factor number .

Step-1: Prime Factorization of 88536

Prime factors of 88536 are 2, 3, 7, 17, 31. Prime factorization of 88536 in exponential form is:

88536 = 2³ × 3¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 88543

Prime factors of 88543 are 7, 13, 139. Prime factorization of 88543 in exponential form is:

88543 = 7² × 13¹ × 139¹

Step-3: Factors of 88536

List of positive integer factors of 88536 that divides 88536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 31, 34, 42, 51, 56, 62, 68, 84, 93, 102, 119, 124, 136, 168, 186, 204, 217, 238, 248, 357, 372, 408, 434, 476, 527, 651, 714, 744, 868, 952, 1054, 1302, 1428, 1581, 1736, 2108, 2604, 2856, 3162, 3689, 4216, 5208, 6324, 7378, 11067, 12648, 14756, 22134, 29512, 44268

Step-4: Factors of 88543

List of positive integer factors of 88543 that divides 88536 without a remainder.

1, 7, 13, 49, 91, 139, 637, 973, 1807, 6811, 12649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88536 and 88543. The biggest common factor number is the GCF number.
So the greatest common factor 88536 and 88543 is 7.

Also check out the Least Common Multiple of 88536 and 88543