What is the Greatest Common Factor of 98700 and 98713?

Greatest common factor (GCF) of 98700 and 98713 is 1.

GCF(98700,98713) = 1

We will now calculate the prime factors of 98700 and 98713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98700 and 98713.

How to find the GCF of 98700 and 98713?

We will first find the prime factorization of 98700 and 98713. After we will calculate the factors of 98700 and 98713 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 98713

Prime factors of 98713 are 98713. Prime factorization of 98713 in exponential form is:

98713 = 98713¹

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 98713

List of positive integer factors of 98713 that divides 98700 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98700 and 98713. The biggest common factor number is the GCF number.
So the greatest common factor 98700 and 98713 is 1.

Also check out the Least Common Multiple of 98700 and 98713