What is the Greatest Common Factor of 98332 and 98345?

Greatest common factor (GCF) of 98332 and 98345 is 13.

GCF(98332,98345) = 13

We will now calculate the prime factors of 98332 and 98345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98332 and 98345.

How to find the GCF of 98332 and 98345?

We will first find the prime factorization of 98332 and 98345. After we will calculate the factors of 98332 and 98345 and find the biggest common factor number .

Step-1: Prime Factorization of 98332

Prime factors of 98332 are 2, 13, 31, 61. Prime factorization of 98332 in exponential form is:

98332 = 2² × 13¹ × 31¹ × 61¹

Step-2: Prime Factorization of 98345

Prime factors of 98345 are 5, 13, 17, 89. Prime factorization of 98345 in exponential form is:

98345 = 5¹ × 13¹ × 17¹ × 89¹

Step-3: Factors of 98332

List of positive integer factors of 98332 that divides 98332 without a remainder.

1, 2, 4, 13, 26, 31, 52, 61, 62, 122, 124, 244, 403, 793, 806, 1586, 1612, 1891, 3172, 3782, 7564, 24583, 49166

Step-4: Factors of 98345

List of positive integer factors of 98345 that divides 98332 without a remainder.

1, 5, 13, 17, 65, 85, 89, 221, 445, 1105, 1157, 1513, 5785, 7565, 19669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98332 and 98345. The biggest common factor number is the GCF number.
So the greatest common factor 98332 and 98345 is 13.

Also check out the Least Common Multiple of 98332 and 98345