What is the Greatest Common Factor of 89488 and 89506?

Greatest common factor (GCF) of 89488 and 89506 is 2.

GCF(89488,89506) = 2

We will now calculate the prime factors of 89488 and 89506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89488 and 89506.

How to find the GCF of 89488 and 89506?

We will first find the prime factorization of 89488 and 89506. After we will calculate the factors of 89488 and 89506 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 89506

Prime factors of 89506 are 2, 44753. Prime factorization of 89506 in exponential form is:

89506 = 2¹ × 44753¹

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 89506

List of positive integer factors of 89506 that divides 89488 without a remainder.

1, 2, 44753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89488 and 89506. The biggest common factor number is the GCF number.
So the greatest common factor 89488 and 89506 is 2.

Also check out the Least Common Multiple of 89488 and 89506