What is the Greatest Common Factor of 59220 and 59230?

Greatest common factor (GCF) of 59220 and 59230 is 10.

GCF(59220,59230) = 10

We will now calculate the prime factors of 59220 and 59230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59220 and 59230.

How to find the GCF of 59220 and 59230?

We will first find the prime factorization of 59220 and 59230. After we will calculate the factors of 59220 and 59230 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 59230

Prime factors of 59230 are 2, 5, 5923. Prime factorization of 59230 in exponential form is:

59230 = 2¹ × 5¹ × 5923¹

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 59230

List of positive integer factors of 59230 that divides 59220 without a remainder.

1, 2, 5, 10, 5923, 11846, 29615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59220 and 59230. The biggest common factor number is the GCF number.
So the greatest common factor 59220 and 59230 is 10.

Also check out the Least Common Multiple of 59220 and 59230