What is the Greatest Common Factor of 53924 and 53936?

Greatest common factor (GCF) of 53924 and 53936 is 4.

GCF(53924,53936) = 4

We will now calculate the prime factors of 53924 and 53936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53924 and 53936.

How to find the GCF of 53924 and 53936?

We will first find the prime factorization of 53924 and 53936. After we will calculate the factors of 53924 and 53936 and find the biggest common factor number .

Step-1: Prime Factorization of 53924

Prime factors of 53924 are 2, 13, 17, 61. Prime factorization of 53924 in exponential form is:

53924 = 2² × 13¹ × 17¹ × 61¹

Step-2: Prime Factorization of 53936

Prime factors of 53936 are 2, 3371. Prime factorization of 53936 in exponential form is:

53936 = 2⁴ × 3371¹

Step-3: Factors of 53924

List of positive integer factors of 53924 that divides 53924 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 61, 68, 122, 221, 244, 442, 793, 884, 1037, 1586, 2074, 3172, 4148, 13481, 26962

Step-4: Factors of 53936

List of positive integer factors of 53936 that divides 53924 without a remainder.

1, 2, 4, 8, 16, 3371, 6742, 13484, 26968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53924 and 53936. The biggest common factor number is the GCF number.
So the greatest common factor 53924 and 53936 is 4.

Also check out the Least Common Multiple of 53924 and 53936