What is the Greatest Common Factor of 98700 and 98712?

Greatest common factor (GCF) of 98700 and 98712 is 12.

GCF(98700,98712) = 12

We will now calculate the prime factors of 98700 and 98712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98700 and 98712.

How to find the GCF of 98700 and 98712?

We will first find the prime factorization of 98700 and 98712. After we will calculate the factors of 98700 and 98712 and find the biggest common factor number .

Step-1: Prime Factorization of 98700

Prime factors of 98700 are 2, 3, 5, 7, 47. Prime factorization of 98700 in exponential form is:

98700 = 2² × 3¹ × 5² × 7¹ × 47¹

Step-2: Prime Factorization of 98712

Prime factors of 98712 are 2, 3, 457. Prime factorization of 98712 in exponential form is:

98712 = 2³ × 3³ × 457¹

Step-3: Factors of 98700

List of positive integer factors of 98700 that divides 98700 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 47, 50, 60, 70, 75, 84, 94, 100, 105, 140, 141, 150, 175, 188, 210, 235, 282, 300, 329, 350, 420, 470, 525, 564, 658, 700, 705, 940, 987, 1050, 1175, 1316, 1410, 1645, 1974, 2100, 2350, 2820, 3290, 3525, 3948, 4700, 4935, 6580, 7050, 8225, 9870, 14100, 16450, 19740, 24675, 32900, 49350

Step-4: Factors of 98712

List of positive integer factors of 98712 that divides 98700 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 8226, 10968, 12339, 16452, 24678, 32904, 49356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98700 and 98712. The biggest common factor number is the GCF number.
So the greatest common factor 98700 and 98712 is 12.

Also check out the Least Common Multiple of 98700 and 98712