What is the Greatest Common Factor of 98345 and 98355?

Greatest common factor (GCF) of 98345 and 98355 is 5.

GCF(98345,98355) = 5

We will now calculate the prime factors of 98345 and 98355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98345 and 98355.

How to find the GCF of 98345 and 98355?

We will first find the prime factorization of 98345 and 98355. After we will calculate the factors of 98345 and 98355 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98355

Prime factors of 98355 are 3, 5, 79, 83. Prime factorization of 98355 in exponential form is:

98355 = 3¹ × 5¹ × 79¹ × 83¹

Step-3: Factors of 98345

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

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

Step-4: Factors of 98355

List of positive integer factors of 98355 that divides 98345 without a remainder.

1, 3, 5, 15, 79, 83, 237, 249, 395, 415, 1185, 1245, 6557, 19671, 32785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98345 and 98355. The biggest common factor number is the GCF number.
So the greatest common factor 98345 and 98355 is 5.

Also check out the Least Common Multiple of 98345 and 98355