What is the Greatest Common Factor of 49536 and 49544?

Greatest common factor (GCF) of 49536 and 49544 is 8.

GCF(49536,49544) = 8

We will now calculate the prime factors of 49536 and 49544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49536 and 49544.

How to find the GCF of 49536 and 49544?

We will first find the prime factorization of 49536 and 49544. After we will calculate the factors of 49536 and 49544 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 49544

Prime factors of 49544 are 2, 11, 563. Prime factorization of 49544 in exponential form is:

49544 = 2³ × 11¹ × 563¹

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 49544

List of positive integer factors of 49544 that divides 49536 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 563, 1126, 2252, 4504, 6193, 12386, 24772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49536 and 49544. The biggest common factor number is the GCF number.
So the greatest common factor 49536 and 49544 is 8.

Also check out the Least Common Multiple of 49536 and 49544