What is the Greatest Common Factor of 59220 and 59239?

Greatest common factor (GCF) of 59220 and 59239 is 1.

GCF(59220,59239) = 1

We will now calculate the prime factors of 59220 and 59239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59220 and 59239.

How to find the GCF of 59220 and 59239?

We will first find the prime factorization of 59220 and 59239. After we will calculate the factors of 59220 and 59239 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 59239

Prime factors of 59239 are 59239. Prime factorization of 59239 in exponential form is:

59239 = 59239¹

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 59239

List of positive integer factors of 59239 that divides 59220 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59220 and 59239. The biggest common factor number is the GCF number.
So the greatest common factor 59220 and 59239 is 1.

Also check out the Least Common Multiple of 59220 and 59239