What is the Greatest Common Factor of 49518 and 49536?

Greatest common factor (GCF) of 49518 and 49536 is 18.

GCF(49518,49536) = 18

We will now calculate the prime factors of 49518 and 49536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49518 and 49536.

How to find the GCF of 49518 and 49536?

We will first find the prime factorization of 49518 and 49536. After we will calculate the factors of 49518 and 49536 and find the biggest common factor number .

Step-1: Prime Factorization of 49518

Prime factors of 49518 are 2, 3, 7, 131. Prime factorization of 49518 in exponential form is:

49518 = 2¹ × 3³ × 7¹ × 131¹

Step-2: 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-3: Factors of 49518

List of positive integer factors of 49518 that divides 49518 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 131, 189, 262, 378, 393, 786, 917, 1179, 1834, 2358, 2751, 3537, 5502, 7074, 8253, 16506, 24759

Step-4: Factors of 49536

List of positive integer factors of 49536 that divides 49518 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49518 and 49536. The biggest common factor number is the GCF number.
So the greatest common factor 49518 and 49536 is 18.

Also check out the Least Common Multiple of 49518 and 49536