What is the Greatest Common Factor of 88528 and 88536?

Greatest common factor (GCF) of 88528 and 88536 is 8.

GCF(88528,88536) = 8

We will now calculate the prime factors of 88528 and 88536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88528 and 88536.

How to find the GCF of 88528 and 88536?

We will first find the prime factorization of 88528 and 88536. After we will calculate the factors of 88528 and 88536 and find the biggest common factor number .

Step-1: Prime Factorization of 88528

Prime factors of 88528 are 2, 11, 503. Prime factorization of 88528 in exponential form is:

88528 = 2⁴ × 11¹ × 503¹

Step-2: 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-3: Factors of 88528

List of positive integer factors of 88528 that divides 88528 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 503, 1006, 2012, 4024, 5533, 8048, 11066, 22132, 44264

Step-4: Factors of 88536

List of positive integer factors of 88536 that divides 88528 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88528 and 88536. The biggest common factor number is the GCF number.
So the greatest common factor 88528 and 88536 is 8.

Also check out the Least Common Multiple of 88528 and 88536