What is the Greatest Common Factor of 59280 and 59298?

Greatest common factor (GCF) of 59280 and 59298 is 6.

GCF(59280,59298) = 6

We will now calculate the prime factors of 59280 and 59298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59280 and 59298.

How to find the GCF of 59280 and 59298?

We will first find the prime factorization of 59280 and 59298. After we will calculate the factors of 59280 and 59298 and find the biggest common factor number .

Step-1: Prime Factorization of 59280

Prime factors of 59280 are 2, 3, 5, 13, 19. Prime factorization of 59280 in exponential form is:

59280 = 2⁴ × 3¹ × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 59298

Prime factors of 59298 are 2, 3, 9883. Prime factorization of 59298 in exponential form is:

59298 = 2¹ × 3¹ × 9883¹

Step-3: Factors of 59280

List of positive integer factors of 59280 that divides 59280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 19, 20, 24, 26, 30, 38, 39, 40, 48, 52, 57, 60, 65, 76, 78, 80, 95, 104, 114, 120, 130, 152, 156, 190, 195, 208, 228, 240, 247, 260, 285, 304, 312, 380, 390, 456, 494, 520, 570, 624, 741, 760, 780, 912, 988, 1040, 1140, 1235, 1482, 1520, 1560, 1976, 2280, 2470, 2964, 3120, 3705, 3952, 4560, 4940, 5928, 7410, 9880, 11856, 14820, 19760, 29640

Step-4: Factors of 59298

List of positive integer factors of 59298 that divides 59280 without a remainder.

1, 2, 3, 6, 9883, 19766, 29649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59280 and 59298. The biggest common factor number is the GCF number.
So the greatest common factor 59280 and 59298 is 6.

Also check out the Least Common Multiple of 59280 and 59298