What is the Greatest Common Factor of 59220 and 59234?

Greatest common factor (GCF) of 59220 and 59234 is 14.

GCF(59220,59234) = 14

We will now calculate the prime factors of 59220 and 59234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59220 and 59234.

How to find the GCF of 59220 and 59234?

We will first find the prime factorization of 59220 and 59234. After we will calculate the factors of 59220 and 59234 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 59234

Prime factors of 59234 are 2, 7, 4231. Prime factorization of 59234 in exponential form is:

59234 = 2¹ × 7¹ × 4231¹

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 59234

List of positive integer factors of 59234 that divides 59220 without a remainder.

1, 2, 7, 14, 4231, 8462, 29617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59220 and 59234. The biggest common factor number is the GCF number.
So the greatest common factor 59220 and 59234 is 14.

Also check out the Least Common Multiple of 59220 and 59234