What is the Greatest Common Factor of 88536 and 88556?

Greatest common factor (GCF) of 88536 and 88556 is 4.

GCF(88536,88556) = 4

We will now calculate the prime factors of 88536 and 88556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88536 and 88556.

How to find the GCF of 88536 and 88556?

We will first find the prime factorization of 88536 and 88556. After we will calculate the factors of 88536 and 88556 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 88556

Prime factors of 88556 are 2, 13, 131. Prime factorization of 88556 in exponential form is:

88556 = 2² × 13² × 131¹

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 88556

List of positive integer factors of 88556 that divides 88536 without a remainder.

1, 2, 4, 13, 26, 52, 131, 169, 262, 338, 524, 676, 1703, 3406, 6812, 22139, 44278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88536 and 88556. The biggest common factor number is the GCF number.
So the greatest common factor 88536 and 88556 is 4.

Also check out the Least Common Multiple of 88536 and 88556