What is the Greatest Common Factor of 98112 and 98120?

Greatest common factor (GCF) of 98112 and 98120 is 8.

GCF(98112,98120) = 8

We will now calculate the prime factors of 98112 and 98120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98112 and 98120.

How to find the GCF of 98112 and 98120?

We will first find the prime factorization of 98112 and 98120. After we will calculate the factors of 98112 and 98120 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 98120

Prime factors of 98120 are 2, 5, 11, 223. Prime factorization of 98120 in exponential form is:

98120 = 2³ × 5¹ × 11¹ × 223¹

Step-3: Factors of 98112

List of positive integer factors of 98112 that divides 98112 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

Step-4: Factors of 98120

List of positive integer factors of 98120 that divides 98112 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 223, 440, 446, 892, 1115, 1784, 2230, 2453, 4460, 4906, 8920, 9812, 12265, 19624, 24530, 49060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98112 and 98120. The biggest common factor number is the GCF number.
So the greatest common factor 98112 and 98120 is 8.

Also check out the Least Common Multiple of 98112 and 98120