What is the Greatest Common Factor of 98532 and 98548?

Greatest common factor (GCF) of 98532 and 98548 is 4.

GCF(98532,98548) = 4

We will now calculate the prime factors of 98532 and 98548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98532 and 98548.

How to find the GCF of 98532 and 98548?

We will first find the prime factorization of 98532 and 98548. After we will calculate the factors of 98532 and 98548 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 98548

Prime factors of 98548 are 2, 71, 347. Prime factorization of 98548 in exponential form is:

98548 = 2² × 71¹ × 347¹

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 98548

List of positive integer factors of 98548 that divides 98532 without a remainder.

1, 2, 4, 71, 142, 284, 347, 694, 1388, 24637, 49274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98532 and 98548. The biggest common factor number is the GCF number.
So the greatest common factor 98532 and 98548 is 4.

Also check out the Least Common Multiple of 98532 and 98548