What is the Greatest Common Factor of 98064 and 98078?

Greatest common factor (GCF) of 98064 and 98078 is 2.

GCF(98064,98078) = 2

We will now calculate the prime factors of 98064 and 98078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98064 and 98078.

How to find the GCF of 98064 and 98078?

We will first find the prime factorization of 98064 and 98078. After we will calculate the factors of 98064 and 98078 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 98078

Prime factors of 98078 are 2, 19, 29, 89. Prime factorization of 98078 in exponential form is:

98078 = 2¹ × 19¹ × 29¹ × 89¹

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 98078

List of positive integer factors of 98078 that divides 98064 without a remainder.

1, 2, 19, 29, 38, 58, 89, 178, 551, 1102, 1691, 2581, 3382, 5162, 49039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98064 and 98078. The biggest common factor number is the GCF number.
So the greatest common factor 98064 and 98078 is 2.

Also check out the Least Common Multiple of 98064 and 98078