What is the Greatest Common Factor of 59224 and 59235?

Greatest common factor (GCF) of 59224 and 59235 is 11.

GCF(59224,59235) = 11

We will now calculate the prime factors of 59224 and 59235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59224 and 59235.

How to find the GCF of 59224 and 59235?

We will first find the prime factorization of 59224 and 59235. After we will calculate the factors of 59224 and 59235 and find the biggest common factor number .

Step-1: Prime Factorization of 59224

Prime factors of 59224 are 2, 11, 673. Prime factorization of 59224 in exponential form is:

59224 = 2³ × 11¹ × 673¹

Step-2: Prime Factorization of 59235

Prime factors of 59235 are 3, 5, 11, 359. Prime factorization of 59235 in exponential form is:

59235 = 3¹ × 5¹ × 11¹ × 359¹

Step-3: Factors of 59224

List of positive integer factors of 59224 that divides 59224 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 673, 1346, 2692, 5384, 7403, 14806, 29612

Step-4: Factors of 59235

List of positive integer factors of 59235 that divides 59224 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 359, 1077, 1795, 3949, 5385, 11847, 19745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59224 and 59235. The biggest common factor number is the GCF number.
So the greatest common factor 59224 and 59235 is 11.

Also check out the Least Common Multiple of 59224 and 59235