What is the Greatest Common Factor of 67536 and 67548?

Greatest common factor (GCF) of 67536 and 67548 is 12.

GCF(67536,67548) = 12

We will now calculate the prime factors of 67536 and 67548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67536 and 67548.

How to find the GCF of 67536 and 67548?

We will first find the prime factorization of 67536 and 67548. After we will calculate the factors of 67536 and 67548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67548

Prime factors of 67548 are 2, 3, 13, 433. Prime factorization of 67548 in exponential form is:

67548 = 2² × 3¹ × 13¹ × 433¹

Step-3: Factors of 67536

List of positive integer factors of 67536 that divides 67536 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

Step-4: Factors of 67548

List of positive integer factors of 67548 that divides 67536 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 433, 866, 1299, 1732, 2598, 5196, 5629, 11258, 16887, 22516, 33774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67536 and 67548. The biggest common factor number is the GCF number.
So the greatest common factor 67536 and 67548 is 12.

Also check out the Least Common Multiple of 67536 and 67548