What is the Greatest Common Factor of 98076 and 98088?

Greatest common factor (GCF) of 98076 and 98088 is 12.

GCF(98076,98088) = 12

We will now calculate the prime factors of 98076 and 98088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98076 and 98088.

How to find the GCF of 98076 and 98088?

We will first find the prime factorization of 98076 and 98088. After we will calculate the factors of 98076 and 98088 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 98088

Prime factors of 98088 are 2, 3, 61, 67. Prime factorization of 98088 in exponential form is:

98088 = 2³ × 3¹ × 61¹ × 67¹

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 98088

List of positive integer factors of 98088 that divides 98076 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 61, 67, 122, 134, 183, 201, 244, 268, 366, 402, 488, 536, 732, 804, 1464, 1608, 4087, 8174, 12261, 16348, 24522, 32696, 49044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98076 and 98088. The biggest common factor number is the GCF number.
So the greatest common factor 98076 and 98088 is 12.

Also check out the Least Common Multiple of 98076 and 98088