What is the Greatest Common Factor of 98364 and 98368?

Greatest common factor (GCF) of 98364 and 98368 is 4.

GCF(98364,98368) = 4

We will now calculate the prime factors of 98364 and 98368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98364 and 98368.

How to find the GCF of 98364 and 98368?

We will first find the prime factorization of 98364 and 98368. After we will calculate the factors of 98364 and 98368 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98368

Prime factors of 98368 are 2, 29, 53. Prime factorization of 98368 in exponential form is:

98368 = 2⁶ × 29¹ × 53¹

Step-3: Factors of 98364

List of positive integer factors of 98364 that divides 98364 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

Step-4: Factors of 98368

List of positive integer factors of 98368 that divides 98364 without a remainder.

1, 2, 4, 8, 16, 29, 32, 53, 58, 64, 106, 116, 212, 232, 424, 464, 848, 928, 1537, 1696, 1856, 3074, 3392, 6148, 12296, 24592, 49184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98364 and 98368. The biggest common factor number is the GCF number.
So the greatest common factor 98364 and 98368 is 4.

Also check out the Least Common Multiple of 98364 and 98368