What is the Greatest Common Factor of 98056 and 98064?

Greatest common factor (GCF) of 98056 and 98064 is 8.

GCF(98056,98064) = 8

We will now calculate the prime factors of 98056 and 98064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98056 and 98064.

How to find the GCF of 98056 and 98064?

We will first find the prime factorization of 98056 and 98064. After we will calculate the factors of 98056 and 98064 and find the biggest common factor number .

Step-1: Prime Factorization of 98056

Prime factors of 98056 are 2, 7, 17, 103. Prime factorization of 98056 in exponential form is:

98056 = 2³ × 7¹ × 17¹ × 103¹

Step-2: 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-3: Factors of 98056

List of positive integer factors of 98056 that divides 98056 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 103, 119, 136, 206, 238, 412, 476, 721, 824, 952, 1442, 1751, 2884, 3502, 5768, 7004, 12257, 14008, 24514, 49028

Step-4: Factors of 98064

List of positive integer factors of 98064 that divides 98056 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98056 and 98064. The biggest common factor number is the GCF number.
So the greatest common factor 98056 and 98064 is 8.

Also check out the Least Common Multiple of 98056 and 98064