What is the Greatest Common Factor of 98523 and 98532?

Greatest common factor (GCF) of 98523 and 98532 is 9.

GCF(98523,98532) = 9

We will now calculate the prime factors of 98523 and 98532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98523 and 98532.

How to find the GCF of 98523 and 98532?

We will first find the prime factorization of 98523 and 98532. After we will calculate the factors of 98523 and 98532 and find the biggest common factor number .

Step-1: Prime Factorization of 98523

Prime factors of 98523 are 3, 41, 89. Prime factorization of 98523 in exponential form is:

98523 = 3³ × 41¹ × 89¹

Step-2: Prime Factorization of 98532

Prime factors of 98532 are 2, 3, 7, 17, 23. Prime factorization of 98532 in exponential form is:

98532 = 2² × 3² × 7¹ × 17¹ × 23¹

Step-3: Factors of 98523

List of positive integer factors of 98523 that divides 98523 without a remainder.

1, 3, 9, 27, 41, 89, 123, 267, 369, 801, 1107, 2403, 3649, 10947, 32841

Step-4: Factors of 98532

List of positive integer factors of 98532 that divides 98523 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 23, 28, 34, 36, 42, 46, 51, 63, 68, 69, 84, 92, 102, 119, 126, 138, 153, 161, 204, 207, 238, 252, 276, 306, 322, 357, 391, 414, 476, 483, 612, 644, 714, 782, 828, 966, 1071, 1173, 1428, 1449, 1564, 1932, 2142, 2346, 2737, 2898, 3519, 4284, 4692, 5474, 5796, 7038, 8211, 10948, 14076, 16422, 24633, 32844, 49266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98523 and 98532. The biggest common factor number is the GCF number.
So the greatest common factor 98523 and 98532 is 9.

Also check out the Least Common Multiple of 98523 and 98532