What is the Greatest Common Factor of 89472 and 89488?

Greatest common factor (GCF) of 89472 and 89488 is 16.

GCF(89472,89488) = 16

We will now calculate the prime factors of 89472 and 89488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89472 and 89488.

How to find the GCF of 89472 and 89488?

We will first find the prime factorization of 89472 and 89488. After we will calculate the factors of 89472 and 89488 and find the biggest common factor number .

Step-1: Prime Factorization of 89472

Prime factors of 89472 are 2, 3, 233. Prime factorization of 89472 in exponential form is:

89472 = 2⁷ × 3¹ × 233¹

Step-2: Prime Factorization of 89488

Prime factors of 89488 are 2, 7, 17, 47. Prime factorization of 89488 in exponential form is:

89488 = 2⁴ × 7¹ × 17¹ × 47¹

Step-3: Factors of 89472

List of positive integer factors of 89472 that divides 89472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 233, 384, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184, 14912, 22368, 29824, 44736

Step-4: Factors of 89488

List of positive integer factors of 89488 that divides 89472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 47, 56, 68, 94, 112, 119, 136, 188, 238, 272, 329, 376, 476, 658, 752, 799, 952, 1316, 1598, 1904, 2632, 3196, 5264, 5593, 6392, 11186, 12784, 22372, 44744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89472 and 89488. The biggest common factor number is the GCF number.
So the greatest common factor 89472 and 89488 is 16.

Also check out the Least Common Multiple of 89472 and 89488