What is the Greatest Common Factor of 98532 and 98550?

Greatest common factor (GCF) of 98532 and 98550 is 18.

GCF(98532,98550) = 18

We will now calculate the prime factors of 98532 and 98550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98532 and 98550.

How to find the GCF of 98532 and 98550?

We will first find the prime factorization of 98532 and 98550. After we will calculate the factors of 98532 and 98550 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98550

Prime factors of 98550 are 2, 3, 5, 73. Prime factorization of 98550 in exponential form is:

98550 = 2¹ × 3³ × 5² × 73¹

Step-3: Factors of 98532

List of positive integer factors of 98532 that divides 98532 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

Step-4: Factors of 98550

List of positive integer factors of 98550 that divides 98532 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 73, 75, 90, 135, 146, 150, 219, 225, 270, 365, 438, 450, 657, 675, 730, 1095, 1314, 1350, 1825, 1971, 2190, 3285, 3650, 3942, 5475, 6570, 9855, 10950, 16425, 19710, 32850, 49275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98532 and 98550. The biggest common factor number is the GCF number.
So the greatest common factor 98532 and 98550 is 18.

Also check out the Least Common Multiple of 98532 and 98550