What is the Greatest Common Factor of 59260 and 59280?

Greatest common factor (GCF) of 59260 and 59280 is 20.

GCF(59260,59280) = 20

We will now calculate the prime factors of 59260 and 59280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59260 and 59280.

How to find the GCF of 59260 and 59280?

We will first find the prime factorization of 59260 and 59280. After we will calculate the factors of 59260 and 59280 and find the biggest common factor number .

Step-1: Prime Factorization of 59260

Prime factors of 59260 are 2, 5, 2963. Prime factorization of 59260 in exponential form is:

59260 = 2² × 5¹ × 2963¹

Step-2: 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-3: Factors of 59260

List of positive integer factors of 59260 that divides 59260 without a remainder.

1, 2, 4, 5, 10, 20, 2963, 5926, 11852, 14815, 29630

Step-4: Factors of 59280

List of positive integer factors of 59280 that divides 59260 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59260 and 59280. The biggest common factor number is the GCF number.
So the greatest common factor 59260 and 59280 is 20.

Also check out the Least Common Multiple of 59260 and 59280