What is the Greatest Common Factor of 59256 and 59262?

Greatest common factor (GCF) of 59256 and 59262 is 6.

GCF(59256,59262) = 6

We will now calculate the prime factors of 59256 and 59262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59256 and 59262.

How to find the GCF of 59256 and 59262?

We will first find the prime factorization of 59256 and 59262. After we will calculate the factors of 59256 and 59262 and find the biggest common factor number .

Step-1: Prime Factorization of 59256

Prime factors of 59256 are 2, 3, 823. Prime factorization of 59256 in exponential form is:

59256 = 2³ × 3² × 823¹

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 59256

List of positive integer factors of 59256 that divides 59256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 823, 1646, 2469, 3292, 4938, 6584, 7407, 9876, 14814, 19752, 29628

Step-4: Factors of 59262

List of positive integer factors of 59262 that divides 59256 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 59256 and 59262. The biggest common factor number is the GCF number.
So the greatest common factor 59256 and 59262 is 6.

Also check out the Least Common Multiple of 59256 and 59262