What is the Greatest Common Factor of 49536 and 49548?

Greatest common factor (GCF) of 49536 and 49548 is 12.

GCF(49536,49548) = 12

We will now calculate the prime factors of 49536 and 49548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49536 and 49548.

How to find the GCF of 49536 and 49548?

We will first find the prime factorization of 49536 and 49548. After we will calculate the factors of 49536 and 49548 and find the biggest common factor number .

Step-1: Prime Factorization of 49536

Prime factors of 49536 are 2, 3, 43. Prime factorization of 49536 in exponential form is:

49536 = 2⁷ × 3² × 43¹

Step-2: Prime Factorization of 49548

Prime factors of 49548 are 2, 3, 4129. Prime factorization of 49548 in exponential form is:

49548 = 2² × 3¹ × 4129¹

Step-3: Factors of 49536

List of positive integer factors of 49536 that divides 49536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 43, 48, 64, 72, 86, 96, 128, 129, 144, 172, 192, 258, 288, 344, 384, 387, 516, 576, 688, 774, 1032, 1152, 1376, 1548, 2064, 2752, 3096, 4128, 5504, 6192, 8256, 12384, 16512, 24768

Step-4: Factors of 49548

List of positive integer factors of 49548 that divides 49536 without a remainder.

1, 2, 3, 4, 6, 12, 4129, 8258, 12387, 16516, 24774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49536 and 49548. The biggest common factor number is the GCF number.
So the greatest common factor 49536 and 49548 is 12.

Also check out the Least Common Multiple of 49536 and 49548