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What is the Greatest Common Factor of 98104 and 98112?

Greatest common factor (GCF) of 98104 and 98112 is 8.

GCF(98104,98112) = 8

We will now calculate the prime factors of 98104 and 98112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98104 and 98112.

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How to find the GCF of 98104 and 98112?

We will first find the prime factorization of 98104 and 98112. After we will calculate the factors of 98104 and 98112 and find the biggest common factor number .

Step-1: Prime Factorization of 98104

Prime factors of 98104 are 2, 12263. Prime factorization of 98104 in exponential form is:

98104 = 23 × 122631

Step-2: Prime Factorization of 98112

Prime factors of 98112 are 2, 3, 7, 73. Prime factorization of 98112 in exponential form is:

98112 = 26 × 31 × 71 × 731

Step-3: Factors of 98104

List of positive integer factors of 98104 that divides 98104 without a remainder.

1, 2, 4, 8, 12263, 24526, 49052

Step-4: Factors of 98112

List of positive integer factors of 98112 that divides 98104 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 73, 84, 96, 112, 146, 168, 192, 219, 224, 292, 336, 438, 448, 511, 584, 672, 876, 1022, 1168, 1344, 1533, 1752, 2044, 2336, 3066, 3504, 4088, 4672, 6132, 7008, 8176, 12264, 14016, 16352, 24528, 32704, 49056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98104 and 98112. The biggest common factor number is the GCF number.
So the greatest common factor 98104 and 98112 is 8.

Also check out the Least Common Multiple of 98104 and 98112