What is the Greatest Common Factor of 98076 and 98087?

Greatest common factor (GCF) of 98076 and 98087 is 11.

GCF(98076,98087) = 11

We will now calculate the prime factors of 98076 and 98087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98076 and 98087.

How to find the GCF of 98076 and 98087?

We will first find the prime factorization of 98076 and 98087. After we will calculate the factors of 98076 and 98087 and find the biggest common factor number .

Step-1: Prime Factorization of 98076

Prime factors of 98076 are 2, 3, 11, 743. Prime factorization of 98076 in exponential form is:

98076 = 2² × 3¹ × 11¹ × 743¹

Step-2: Prime Factorization of 98087

Prime factors of 98087 are 11, 37, 241. Prime factorization of 98087 in exponential form is:

98087 = 11¹ × 37¹ × 241¹

Step-3: Factors of 98076

List of positive integer factors of 98076 that divides 98076 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 743, 1486, 2229, 2972, 4458, 8173, 8916, 16346, 24519, 32692, 49038

Step-4: Factors of 98087

List of positive integer factors of 98087 that divides 98076 without a remainder.

1, 11, 37, 241, 407, 2651, 8917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98076 and 98087. The biggest common factor number is the GCF number.
So the greatest common factor 98076 and 98087 is 11.

Also check out the Least Common Multiple of 98076 and 98087