What is the Greatest Common Factor of 68524 and 68544?

Greatest common factor (GCF) of 68524 and 68544 is 4.

GCF(68524,68544) = 4

We will now calculate the prime factors of 68524 and 68544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68524 and 68544.

How to find the GCF of 68524 and 68544?

We will first find the prime factorization of 68524 and 68544. After we will calculate the factors of 68524 and 68544 and find the biggest common factor number .

Step-1: Prime Factorization of 68524

Prime factors of 68524 are 2, 37, 463. Prime factorization of 68524 in exponential form is:

68524 = 2² × 37¹ × 463¹

Step-2: Prime Factorization of 68544

Prime factors of 68544 are 2, 3, 7, 17. Prime factorization of 68544 in exponential form is:

68544 = 2⁶ × 3² × 7¹ × 17¹

Step-3: Factors of 68524

List of positive integer factors of 68524 that divides 68524 without a remainder.

1, 2, 4, 37, 74, 148, 463, 926, 1852, 17131, 34262

Step-4: Factors of 68544

List of positive integer factors of 68544 that divides 68524 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 17, 18, 21, 24, 28, 32, 34, 36, 42, 48, 51, 56, 63, 64, 68, 72, 84, 96, 102, 112, 119, 126, 136, 144, 153, 168, 192, 204, 224, 238, 252, 272, 288, 306, 336, 357, 408, 448, 476, 504, 544, 576, 612, 672, 714, 816, 952, 1008, 1071, 1088, 1224, 1344, 1428, 1632, 1904, 2016, 2142, 2448, 2856, 3264, 3808, 4032, 4284, 4896, 5712, 7616, 8568, 9792, 11424, 17136, 22848, 34272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68524 and 68544. The biggest common factor number is the GCF number.
So the greatest common factor 68524 and 68544 is 4.

Also check out the Least Common Multiple of 68524 and 68544