What is the Greatest Common Factor of 67524 and 67536?

Greatest common factor (GCF) of 67524 and 67536 is 12.

GCF(67524,67536) = 12

We will now calculate the prime factors of 67524 and 67536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67524 and 67536.

How to find the GCF of 67524 and 67536?

We will first find the prime factorization of 67524 and 67536. After we will calculate the factors of 67524 and 67536 and find the biggest common factor number .

Step-1: Prime Factorization of 67524

Prime factors of 67524 are 2, 3, 17, 331. Prime factorization of 67524 in exponential form is:

67524 = 2² × 3¹ × 17¹ × 331¹

Step-2: Prime Factorization of 67536

Prime factors of 67536 are 2, 3, 7, 67. Prime factorization of 67536 in exponential form is:

67536 = 2⁴ × 3² × 7¹ × 67¹

Step-3: Factors of 67524

List of positive integer factors of 67524 that divides 67524 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 331, 662, 993, 1324, 1986, 3972, 5627, 11254, 16881, 22508, 33762

Step-4: Factors of 67536

List of positive integer factors of 67536 that divides 67524 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 67, 72, 84, 112, 126, 134, 144, 168, 201, 252, 268, 336, 402, 469, 504, 536, 603, 804, 938, 1008, 1072, 1206, 1407, 1608, 1876, 2412, 2814, 3216, 3752, 4221, 4824, 5628, 7504, 8442, 9648, 11256, 16884, 22512, 33768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67524 and 67536. The biggest common factor number is the GCF number.
So the greatest common factor 67524 and 67536 is 12.

Also check out the Least Common Multiple of 67524 and 67536