What is the Greatest Common Factor of 98840 and 98848?

Greatest common factor (GCF) of 98840 and 98848 is 8.

GCF(98840,98848) = 8

We will now calculate the prime factors of 98840 and 98848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98840 and 98848.

How to find the GCF of 98840 and 98848?

We will first find the prime factorization of 98840 and 98848. After we will calculate the factors of 98840 and 98848 and find the biggest common factor number .

Step-1: Prime Factorization of 98840

Prime factors of 98840 are 2, 5, 7, 353. Prime factorization of 98840 in exponential form is:

98840 = 2³ × 5¹ × 7¹ × 353¹

Step-2: Prime Factorization of 98848

Prime factors of 98848 are 2, 3089. Prime factorization of 98848 in exponential form is:

98848 = 2⁵ × 3089¹

Step-3: Factors of 98840

List of positive integer factors of 98840 that divides 98840 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 353, 706, 1412, 1765, 2471, 2824, 3530, 4942, 7060, 9884, 12355, 14120, 19768, 24710, 49420

Step-4: Factors of 98848

List of positive integer factors of 98848 that divides 98840 without a remainder.

1, 2, 4, 8, 16, 32, 3089, 6178, 12356, 24712, 49424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98840 and 98848. The biggest common factor number is the GCF number.
So the greatest common factor 98840 and 98848 is 8.

Also check out the Least Common Multiple of 98840 and 98848