What is the Greatest Common Factor of 14560 and 14570?

Greatest common factor (GCF) of 14560 and 14570 is 10.

GCF(14560,14570) = 10

We will now calculate the prime factors of 14560 and 14570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14560 and 14570.

How to find the GCF of 14560 and 14570?

We will first find the prime factorization of 14560 and 14570. After we will calculate the factors of 14560 and 14570 and find the biggest common factor number .

Step-1: Prime Factorization of 14560

Prime factors of 14560 are 2, 5, 7, 13. Prime factorization of 14560 in exponential form is:

14560 = 2⁵ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 14570

Prime factors of 14570 are 2, 5, 31, 47. Prime factorization of 14570 in exponential form is:

14570 = 2¹ × 5¹ × 31¹ × 47¹

Step-3: Factors of 14560

List of positive integer factors of 14560 that divides 14560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 32, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 160, 182, 208, 224, 260, 280, 364, 416, 455, 520, 560, 728, 910, 1040, 1120, 1456, 1820, 2080, 2912, 3640, 7280

Step-4: Factors of 14570

List of positive integer factors of 14570 that divides 14560 without a remainder.

1, 2, 5, 10, 31, 47, 62, 94, 155, 235, 310, 470, 1457, 2914, 7285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14560 and 14570. The biggest common factor number is the GCF number.
So the greatest common factor 14560 and 14570 is 10.

Also check out the Least Common Multiple of 14560 and 14570