What is the Greatest Common Factor of 98064 and 98080?

Greatest common factor (GCF) of 98064 and 98080 is 16.

GCF(98064,98080) = 16

We will now calculate the prime factors of 98064 and 98080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98064 and 98080.

How to find the GCF of 98064 and 98080?

We will first find the prime factorization of 98064 and 98080. After we will calculate the factors of 98064 and 98080 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 98080

Prime factors of 98080 are 2, 5, 613. Prime factorization of 98080 in exponential form is:

98080 = 2⁵ × 5¹ × 613¹

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 98080

List of positive integer factors of 98080 that divides 98064 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 613, 1226, 2452, 3065, 4904, 6130, 9808, 12260, 19616, 24520, 49040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98064 and 98080. The biggest common factor number is the GCF number.
So the greatest common factor 98064 and 98080 is 16.

Also check out the Least Common Multiple of 98064 and 98080