What is the Greatest Common Factor of 49504 and 49524?

Greatest common factor (GCF) of 49504 and 49524 is 4.

GCF(49504,49524) = 4

We will now calculate the prime factors of 49504 and 49524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49504 and 49524.

How to find the GCF of 49504 and 49524?

We will first find the prime factorization of 49504 and 49524. After we will calculate the factors of 49504 and 49524 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 49524

Prime factors of 49524 are 2, 3, 4127. Prime factorization of 49524 in exponential form is:

49524 = 2² × 3¹ × 4127¹

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 49524

List of positive integer factors of 49524 that divides 49504 without a remainder.

1, 2, 3, 4, 6, 12, 4127, 8254, 12381, 16508, 24762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49504 and 49524. The biggest common factor number is the GCF number.
So the greatest common factor 49504 and 49524 is 4.

Also check out the Least Common Multiple of 49504 and 49524