What is the Greatest Common Factor of 98350 and 98364?

Greatest common factor (GCF) of 98350 and 98364 is 14.

GCF(98350,98364) = 14

We will now calculate the prime factors of 98350 and 98364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98350 and 98364.

How to find the GCF of 98350 and 98364?

We will first find the prime factorization of 98350 and 98364. After we will calculate the factors of 98350 and 98364 and find the biggest common factor number .

Step-1: Prime Factorization of 98350

Prime factors of 98350 are 2, 5, 7, 281. Prime factorization of 98350 in exponential form is:

98350 = 2¹ × 5² × 7¹ × 281¹

Step-2: Prime Factorization of 98364

Prime factors of 98364 are 2, 3, 7, 1171. Prime factorization of 98364 in exponential form is:

98364 = 2² × 3¹ × 7¹ × 1171¹

Step-3: Factors of 98350

List of positive integer factors of 98350 that divides 98350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 281, 350, 562, 1405, 1967, 2810, 3934, 7025, 9835, 14050, 19670, 49175

Step-4: Factors of 98364

List of positive integer factors of 98364 that divides 98350 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1171, 2342, 3513, 4684, 7026, 8197, 14052, 16394, 24591, 32788, 49182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98350 and 98364. The biggest common factor number is the GCF number.
So the greatest common factor 98350 and 98364 is 14.

Also check out the Least Common Multiple of 98350 and 98364