What is the Greatest Common Factor of 88536 and 88548?

Greatest common factor (GCF) of 88536 and 88548 is 12.

GCF(88536,88548) = 12

We will now calculate the prime factors of 88536 and 88548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88536 and 88548.

How to find the GCF of 88536 and 88548?

We will first find the prime factorization of 88536 and 88548. After we will calculate the factors of 88536 and 88548 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 88548

Prime factors of 88548 are 2, 3, 47, 157. Prime factorization of 88548 in exponential form is:

88548 = 2² × 3¹ × 47¹ × 157¹

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 88548

List of positive integer factors of 88548 that divides 88536 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 157, 188, 282, 314, 471, 564, 628, 942, 1884, 7379, 14758, 22137, 29516, 44274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88536 and 88548. The biggest common factor number is the GCF number.
So the greatest common factor 88536 and 88548 is 12.

Also check out the Least Common Multiple of 88536 and 88548