What is the Greatest Common Factor of 59220 and 59235?

Greatest common factor (GCF) of 59220 and 59235 is 15.

GCF(59220,59235) = 15

We will now calculate the prime factors of 59220 and 59235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59220 and 59235.

How to find the GCF of 59220 and 59235?

We will first find the prime factorization of 59220 and 59235. After we will calculate the factors of 59220 and 59235 and find the biggest common factor number .

Step-1: Prime Factorization of 59220

Prime factors of 59220 are 2, 3, 5, 7, 47. Prime factorization of 59220 in exponential form is:

59220 = 2² × 3² × 5¹ × 7¹ × 47¹

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 59220

List of positive integer factors of 59220 that divides 59220 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 47, 60, 63, 70, 84, 90, 94, 105, 126, 140, 141, 180, 188, 210, 235, 252, 282, 315, 329, 420, 423, 470, 564, 630, 658, 705, 846, 940, 987, 1260, 1316, 1410, 1645, 1692, 1974, 2115, 2820, 2961, 3290, 3948, 4230, 4935, 5922, 6580, 8460, 9870, 11844, 14805, 19740, 29610

Step-4: Factors of 59235

List of positive integer factors of 59235 that divides 59220 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 59220 and 59235. The biggest common factor number is the GCF number.
So the greatest common factor 59220 and 59235 is 15.

Also check out the Least Common Multiple of 59220 and 59235