What is the Greatest Common Factor of 98532 and 98546?

Greatest common factor (GCF) of 98532 and 98546 is 14.

GCF(98532,98546) = 14

We will now calculate the prime factors of 98532 and 98546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98532 and 98546.

How to find the GCF of 98532 and 98546?

We will first find the prime factorization of 98532 and 98546. After we will calculate the factors of 98532 and 98546 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 98546

Prime factors of 98546 are 2, 7, 7039. Prime factorization of 98546 in exponential form is:

98546 = 2¹ × 7¹ × 7039¹

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 98546

List of positive integer factors of 98546 that divides 98532 without a remainder.

1, 2, 7, 14, 7039, 14078, 49273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98532 and 98546. The biggest common factor number is the GCF number.
So the greatest common factor 98532 and 98546 is 14.

Also check out the Least Common Multiple of 98532 and 98546