What is the Greatest Common Factor of 98774 and 98784?

Greatest common factor (GCF) of 98774 and 98784 is 2.

GCF(98774,98784) = 2

We will now calculate the prime factors of 98774 and 98784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98774 and 98784.

How to find the GCF of 98774 and 98784?

We will first find the prime factorization of 98774 and 98784. After we will calculate the factors of 98774 and 98784 and find the biggest common factor number .

Step-1: Prime Factorization of 98774

Prime factors of 98774 are 2, 13, 29, 131. Prime factorization of 98774 in exponential form is:

98774 = 2¹ × 13¹ × 29¹ × 131¹

Step-2: Prime Factorization of 98784

Prime factors of 98784 are 2, 3, 7. Prime factorization of 98784 in exponential form is:

98784 = 2⁵ × 3² × 7³

Step-3: Factors of 98774

List of positive integer factors of 98774 that divides 98774 without a remainder.

1, 2, 13, 26, 29, 58, 131, 262, 377, 754, 1703, 3406, 3799, 7598, 49387

Step-4: Factors of 98784

List of positive integer factors of 98784 that divides 98774 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 72, 84, 96, 98, 112, 126, 144, 147, 168, 196, 224, 252, 288, 294, 336, 343, 392, 441, 504, 588, 672, 686, 784, 882, 1008, 1029, 1176, 1372, 1568, 1764, 2016, 2058, 2352, 2744, 3087, 3528, 4116, 4704, 5488, 6174, 7056, 8232, 10976, 12348, 14112, 16464, 24696, 32928, 49392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98774 and 98784. The biggest common factor number is the GCF number.
So the greatest common factor 98774 and 98784 is 2.

Also check out the Least Common Multiple of 98774 and 98784