What is the Greatest Common Factor of 59248 and 59262?

Greatest common factor (GCF) of 59248 and 59262 is 14.

GCF(59248,59262) = 14

We will now calculate the prime factors of 59248 and 59262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59248 and 59262.

How to find the GCF of 59248 and 59262?

We will first find the prime factorization of 59248 and 59262. After we will calculate the factors of 59248 and 59262 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 59262

Prime factors of 59262 are 2, 3, 7, 17, 83. Prime factorization of 59262 in exponential form is:

59262 = 2¹ × 3¹ × 7¹ × 17¹ × 83¹

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 59262

List of positive integer factors of 59262 that divides 59248 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 83, 102, 119, 166, 238, 249, 357, 498, 581, 714, 1162, 1411, 1743, 2822, 3486, 4233, 8466, 9877, 19754, 29631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59248 and 59262. The biggest common factor number is the GCF number.
So the greatest common factor 59248 and 59262 is 14.

Also check out the Least Common Multiple of 59248 and 59262