What is the Greatest Common Factor of 49504 and 49518?

Greatest common factor (GCF) of 49504 and 49518 is 14.

GCF(49504,49518) = 14

We will now calculate the prime factors of 49504 and 49518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49504 and 49518.

How to find the GCF of 49504 and 49518?

We will first find the prime factorization of 49504 and 49518. After we will calculate the factors of 49504 and 49518 and find the biggest common factor number .

Step-1: Prime Factorization of 49504

Prime factors of 49504 are 2, 7, 13, 17. Prime factorization of 49504 in exponential form is:

49504 = 2⁵ × 7¹ × 13¹ × 17¹

Step-2: 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-3: Factors of 49504

List of positive integer factors of 49504 that divides 49504 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 17, 26, 28, 32, 34, 52, 56, 68, 91, 104, 112, 119, 136, 182, 208, 221, 224, 238, 272, 364, 416, 442, 476, 544, 728, 884, 952, 1456, 1547, 1768, 1904, 2912, 3094, 3536, 3808, 6188, 7072, 12376, 24752

Step-4: Factors of 49518

List of positive integer factors of 49518 that divides 49504 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49504 and 49518. The biggest common factor number is the GCF number.
So the greatest common factor 49504 and 49518 is 14.

Also check out the Least Common Multiple of 49504 and 49518