What is the Greatest Common Factor of 59248 and 59252?

Greatest common factor (GCF) of 59248 and 59252 is 4.

GCF(59248,59252) = 4

We will now calculate the prime factors of 59248 and 59252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59248 and 59252.

How to find the GCF of 59248 and 59252?

We will first find the prime factorization of 59248 and 59252. After we will calculate the factors of 59248 and 59252 and find the biggest common factor number .

Step-1: Prime Factorization of 59248

Prime factors of 59248 are 2, 7, 23. Prime factorization of 59248 in exponential form is:

59248 = 2⁴ × 7¹ × 23²

Step-2: Prime Factorization of 59252

Prime factors of 59252 are 2, 14813. Prime factorization of 59252 in exponential form is:

59252 = 2² × 14813¹

Step-3: Factors of 59248

List of positive integer factors of 59248 that divides 59248 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 46, 56, 92, 112, 161, 184, 322, 368, 529, 644, 1058, 1288, 2116, 2576, 3703, 4232, 7406, 8464, 14812, 29624

Step-4: Factors of 59252

List of positive integer factors of 59252 that divides 59248 without a remainder.

1, 2, 4, 14813, 29626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59248 and 59252. The biggest common factor number is the GCF number.
So the greatest common factor 59248 and 59252 is 4.

Also check out the Least Common Multiple of 59248 and 59252