What is the Greatest Common Factor of 98064 and 98076?

Greatest common factor (GCF) of 98064 and 98076 is 12.

GCF(98064,98076) = 12

We will now calculate the prime factors of 98064 and 98076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98064 and 98076.

How to find the GCF of 98064 and 98076?

We will first find the prime factorization of 98064 and 98076. After we will calculate the factors of 98064 and 98076 and find the biggest common factor number .

Step-1: Prime Factorization of 98064

Prime factors of 98064 are 2, 3, 227. Prime factorization of 98064 in exponential form is:

98064 = 2⁴ × 3³ × 227¹

Step-2: 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-3: Factors of 98064

List of positive integer factors of 98064 that divides 98064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 227, 432, 454, 681, 908, 1362, 1816, 2043, 2724, 3632, 4086, 5448, 6129, 8172, 10896, 12258, 16344, 24516, 32688, 49032

Step-4: Factors of 98076

List of positive integer factors of 98076 that divides 98064 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98064 and 98076. The biggest common factor number is the GCF number.
So the greatest common factor 98064 and 98076 is 12.

Also check out the Least Common Multiple of 98064 and 98076