What is the Greatest Common Factor of 98648 and 98653?

Greatest common factor (GCF) of 98648 and 98653 is 1.

GCF(98648,98653) = 1

We will now calculate the prime factors of 98648 and 98653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98648 and 98653.

How to find the GCF of 98648 and 98653?

We will first find the prime factorization of 98648 and 98653. After we will calculate the factors of 98648 and 98653 and find the biggest common factor number .

Step-1: Prime Factorization of 98648

Prime factors of 98648 are 2, 11, 19, 59. Prime factorization of 98648 in exponential form is:

98648 = 2³ × 11¹ × 19¹ × 59¹

Step-2: Prime Factorization of 98653

Prime factors of 98653 are 47, 2099. Prime factorization of 98653 in exponential form is:

98653 = 47¹ × 2099¹

Step-3: Factors of 98648

List of positive integer factors of 98648 that divides 98648 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 59, 76, 88, 118, 152, 209, 236, 418, 472, 649, 836, 1121, 1298, 1672, 2242, 2596, 4484, 5192, 8968, 12331, 24662, 49324

Step-4: Factors of 98653

List of positive integer factors of 98653 that divides 98648 without a remainder.

1, 47, 2099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98648 and 98653. The biggest common factor number is the GCF number.
So the greatest common factor 98648 and 98653 is 1.

Also check out the Least Common Multiple of 98648 and 98653