What is the Greatest Common Factor of 98368 and 98380?

Greatest common factor (GCF) of 98368 and 98380 is 4.

GCF(98368,98380) = 4

We will now calculate the prime factors of 98368 and 98380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98368 and 98380.

How to find the GCF of 98368 and 98380?

We will first find the prime factorization of 98368 and 98380. After we will calculate the factors of 98368 and 98380 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 98380

Prime factors of 98380 are 2, 5, 4919. Prime factorization of 98380 in exponential form is:

98380 = 2² × 5¹ × 4919¹

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 98380

List of positive integer factors of 98380 that divides 98368 without a remainder.

1, 2, 4, 5, 10, 20, 4919, 9838, 19676, 24595, 49190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98368 and 98380. The biggest common factor number is the GCF number.
So the greatest common factor 98368 and 98380 is 4.

Also check out the Least Common Multiple of 98368 and 98380