What is the Greatest Common Factor of 98764 and 98780?

Greatest common factor (GCF) of 98764 and 98780 is 4.

GCF(98764,98780) = 4

We will now calculate the prime factors of 98764 and 98780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98764 and 98780.

How to find the GCF of 98764 and 98780?

We will first find the prime factorization of 98764 and 98780. After we will calculate the factors of 98764 and 98780 and find the biggest common factor number .

Step-1: Prime Factorization of 98764

Prime factors of 98764 are 2, 24691. Prime factorization of 98764 in exponential form is:

98764 = 2² × 24691¹

Step-2: Prime Factorization of 98780

Prime factors of 98780 are 2, 5, 11, 449. Prime factorization of 98780 in exponential form is:

98780 = 2² × 5¹ × 11¹ × 449¹

Step-3: Factors of 98764

List of positive integer factors of 98764 that divides 98764 without a remainder.

1, 2, 4, 24691, 49382

Step-4: Factors of 98780

List of positive integer factors of 98780 that divides 98764 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 449, 898, 1796, 2245, 4490, 4939, 8980, 9878, 19756, 24695, 49390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98764 and 98780. The biggest common factor number is the GCF number.
So the greatest common factor 98764 and 98780 is 4.

Also check out the Least Common Multiple of 98764 and 98780