What is the Greatest Common Factor of 88529 and 88536?

Greatest common factor (GCF) of 88529 and 88536 is 7.

GCF(88529,88536) = 7

We will now calculate the prime factors of 88529 and 88536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88529 and 88536.

How to find the GCF of 88529 and 88536?

We will first find the prime factorization of 88529 and 88536. After we will calculate the factors of 88529 and 88536 and find the biggest common factor number .

Step-1: Prime Factorization of 88529

Prime factors of 88529 are 7, 12647. Prime factorization of 88529 in exponential form is:

88529 = 7¹ × 12647¹

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 88529

List of positive integer factors of 88529 that divides 88529 without a remainder.

1, 7, 12647

Step-4: Factors of 88536

List of positive integer factors of 88536 that divides 88529 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 88529 and 88536. The biggest common factor number is the GCF number.
So the greatest common factor 88529 and 88536 is 7.

Also check out the Least Common Multiple of 88529 and 88536