What is the Greatest Common Factor of 59220 and 59227?

Greatest common factor (GCF) of 59220 and 59227 is 7.

GCF(59220,59227) = 7

We will now calculate the prime factors of 59220 and 59227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59220 and 59227.

How to find the GCF of 59220 and 59227?

We will first find the prime factorization of 59220 and 59227. After we will calculate the factors of 59220 and 59227 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 59227

Prime factors of 59227 are 7, 8461. Prime factorization of 59227 in exponential form is:

59227 = 7¹ × 8461¹

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 59227

List of positive integer factors of 59227 that divides 59220 without a remainder.

1, 7, 8461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59220 and 59227. The biggest common factor number is the GCF number.
So the greatest common factor 59220 and 59227 is 7.

Also check out the Least Common Multiple of 59220 and 59227