What is the Greatest Common Factor of 59220 and 59238?

Greatest common factor (GCF) of 59220 and 59238 is 18.

GCF(59220,59238) = 18

We will now calculate the prime factors of 59220 and 59238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59220 and 59238.

How to find the GCF of 59220 and 59238?

We will first find the prime factorization of 59220 and 59238. After we will calculate the factors of 59220 and 59238 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 59238

Prime factors of 59238 are 2, 3, 1097. Prime factorization of 59238 in exponential form is:

59238 = 2¹ × 3³ × 1097¹

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 59238

List of positive integer factors of 59238 that divides 59220 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1097, 2194, 3291, 6582, 9873, 19746, 29619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59220 and 59238. The biggest common factor number is the GCF number.
So the greatest common factor 59220 and 59238 is 18.

Also check out the Least Common Multiple of 59220 and 59238