What is the Greatest Common Factor of 98368 and 98372?

Greatest common factor (GCF) of 98368 and 98372 is 4.

GCF(98368,98372) = 4

We will now calculate the prime factors of 98368 and 98372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98368 and 98372.

How to find the GCF of 98368 and 98372?

We will first find the prime factorization of 98368 and 98372. After we will calculate the factors of 98368 and 98372 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98372

Prime factors of 98372 are 2, 24593. Prime factorization of 98372 in exponential form is:

98372 = 2² × 24593¹

Step-3: Factors of 98368

List of positive integer factors of 98368 that divides 98368 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

Step-4: Factors of 98372

List of positive integer factors of 98372 that divides 98368 without a remainder.

1, 2, 4, 24593, 49186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98368 and 98372. The biggest common factor number is the GCF number.
So the greatest common factor 98368 and 98372 is 4.

Also check out the Least Common Multiple of 98368 and 98372