What is the Greatest Common Factor of 68448 and 68460?

Greatest common factor (GCF) of 68448 and 68460 is 12.

GCF(68448,68460) = 12

We will now calculate the prime factors of 68448 and 68460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68448 and 68460.

How to find the GCF of 68448 and 68460?

We will first find the prime factorization of 68448 and 68460. After we will calculate the factors of 68448 and 68460 and find the biggest common factor number .

Step-1: Prime Factorization of 68448

Prime factors of 68448 are 2, 3, 23, 31. Prime factorization of 68448 in exponential form is:

68448 = 2⁵ × 3¹ × 23¹ × 31¹

Step-2: Prime Factorization of 68460

Prime factors of 68460 are 2, 3, 5, 7, 163. Prime factorization of 68460 in exponential form is:

68460 = 2² × 3¹ × 5¹ × 7¹ × 163¹

Step-3: Factors of 68448

List of positive integer factors of 68448 that divides 68448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 32, 46, 48, 62, 69, 92, 93, 96, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 736, 744, 992, 1104, 1426, 1488, 2139, 2208, 2852, 2976, 4278, 5704, 8556, 11408, 17112, 22816, 34224

Step-4: Factors of 68460

List of positive integer factors of 68460 that divides 68448 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 163, 210, 326, 420, 489, 652, 815, 978, 1141, 1630, 1956, 2282, 2445, 3260, 3423, 4564, 4890, 5705, 6846, 9780, 11410, 13692, 17115, 22820, 34230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68448 and 68460. The biggest common factor number is the GCF number.
So the greatest common factor 68448 and 68460 is 12.

Also check out the Least Common Multiple of 68448 and 68460