What is the Greatest Common Factor of 59262 and 59278?

Greatest common factor (GCF) of 59262 and 59278 is 2.

GCF(59262,59278) = 2

We will now calculate the prime factors of 59262 and 59278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59262 and 59278.

How to find the GCF of 59262 and 59278?

We will first find the prime factorization of 59262 and 59278. After we will calculate the factors of 59262 and 59278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 59278

Prime factors of 59278 are 2, 107, 277. Prime factorization of 59278 in exponential form is:

59278 = 2¹ × 107¹ × 277¹

Step-3: Factors of 59262

List of positive integer factors of 59262 that divides 59262 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

Step-4: Factors of 59278

List of positive integer factors of 59278 that divides 59262 without a remainder.

1, 2, 107, 214, 277, 554, 29639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59262 and 59278. The biggest common factor number is the GCF number.
So the greatest common factor 59262 and 59278 is 2.

Also check out the Least Common Multiple of 59262 and 59278