What is the Greatest Common Factor of 59258 and 59262?

Greatest common factor (GCF) of 59258 and 59262 is 2.

GCF(59258,59262) = 2

We will now calculate the prime factors of 59258 and 59262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59258 and 59262.

How to find the GCF of 59258 and 59262?

We will first find the prime factorization of 59258 and 59262. After we will calculate the factors of 59258 and 59262 and find the biggest common factor number .

Step-1: Prime Factorization of 59258

Prime factors of 59258 are 2, 29629. Prime factorization of 59258 in exponential form is:

59258 = 2¹ × 29629¹

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 59258

List of positive integer factors of 59258 that divides 59258 without a remainder.

1, 2, 29629

Step-4: Factors of 59262

List of positive integer factors of 59262 that divides 59258 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 59258 and 59262. The biggest common factor number is the GCF number.
So the greatest common factor 59258 and 59262 is 2.

Also check out the Least Common Multiple of 59258 and 59262