What is the Greatest Common Factor of 59248 and 59267?

Greatest common factor (GCF) of 59248 and 59267 is 1.

GCF(59248,59267) = 1

We will now calculate the prime factors of 59248 and 59267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59248 and 59267.

How to find the GCF of 59248 and 59267?

We will first find the prime factorization of 59248 and 59267. After we will calculate the factors of 59248 and 59267 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 59267

Prime factors of 59267 are 13, 47, 97. Prime factorization of 59267 in exponential form is:

59267 = 13¹ × 47¹ × 97¹

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 59267

List of positive integer factors of 59267 that divides 59248 without a remainder.

1, 13, 47, 97, 611, 1261, 4559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59248 and 59267. The biggest common factor number is the GCF number.
So the greatest common factor 59248 and 59267 is 1.

Also check out the Least Common Multiple of 59248 and 59267