What is the Greatest Common Factor of 98549 and 98560?

Greatest common factor (GCF) of 98549 and 98560 is 11.

GCF(98549,98560) = 11

We will now calculate the prime factors of 98549 and 98560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98549 and 98560.

How to find the GCF of 98549 and 98560?

We will first find the prime factorization of 98549 and 98560. After we will calculate the factors of 98549 and 98560 and find the biggest common factor number .

Step-1: Prime Factorization of 98549

Prime factors of 98549 are 11, 17, 31. Prime factorization of 98549 in exponential form is:

98549 = 11¹ × 17² × 31¹

Step-2: Prime Factorization of 98560

Prime factors of 98560 are 2, 5, 7, 11. Prime factorization of 98560 in exponential form is:

98560 = 2⁸ × 5¹ × 7¹ × 11¹

Step-3: Factors of 98549

List of positive integer factors of 98549 that divides 98549 without a remainder.

1, 11, 17, 31, 187, 289, 341, 527, 3179, 5797, 8959

Step-4: Factors of 98560

List of positive integer factors of 98560 that divides 98549 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 32, 35, 40, 44, 55, 56, 64, 70, 77, 80, 88, 110, 112, 128, 140, 154, 160, 176, 220, 224, 256, 280, 308, 320, 352, 385, 440, 448, 560, 616, 640, 704, 770, 880, 896, 1120, 1232, 1280, 1408, 1540, 1760, 1792, 2240, 2464, 2816, 3080, 3520, 4480, 4928, 6160, 7040, 8960, 9856, 12320, 14080, 19712, 24640, 49280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98549 and 98560. The biggest common factor number is the GCF number.
So the greatest common factor 98549 and 98560 is 11.

Also check out the Least Common Multiple of 98549 and 98560