What is the Greatest Common Factor of 89488 and 89505?

Greatest common factor (GCF) of 89488 and 89505 is 17.

GCF(89488,89505) = 17

We will now calculate the prime factors of 89488 and 89505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89488 and 89505.

How to find the GCF of 89488 and 89505?

We will first find the prime factorization of 89488 and 89505. After we will calculate the factors of 89488 and 89505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89505

Prime factors of 89505 are 3, 5, 13, 17. Prime factorization of 89505 in exponential form is:

89505 = 3⁴ × 5¹ × 13¹ × 17¹

Step-3: Factors of 89488

List of positive integer factors of 89488 that divides 89488 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

Step-4: Factors of 89505

List of positive integer factors of 89505 that divides 89488 without a remainder.

1, 3, 5, 9, 13, 15, 17, 27, 39, 45, 51, 65, 81, 85, 117, 135, 153, 195, 221, 255, 351, 405, 459, 585, 663, 765, 1053, 1105, 1377, 1755, 1989, 2295, 3315, 5265, 5967, 6885, 9945, 17901, 29835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89488 and 89505. The biggest common factor number is the GCF number.
So the greatest common factor 89488 and 89505 is 17.

Also check out the Least Common Multiple of 89488 and 89505