What is the Greatest Common Factor of 47560 and 47565?

Greatest common factor (GCF) of 47560 and 47565 is 5.

GCF(47560,47565) = 5

We will now calculate the prime factors of 47560 and 47565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47560 and 47565.

How to find the GCF of 47560 and 47565?

We will first find the prime factorization of 47560 and 47565. After we will calculate the factors of 47560 and 47565 and find the biggest common factor number .

Step-1: Prime Factorization of 47560

Prime factors of 47560 are 2, 5, 29, 41. Prime factorization of 47560 in exponential form is:

47560 = 2³ × 5¹ × 29¹ × 41¹

Step-2: Prime Factorization of 47565

Prime factors of 47565 are 3, 5, 7, 151. Prime factorization of 47565 in exponential form is:

47565 = 3² × 5¹ × 7¹ × 151¹

Step-3: Factors of 47560

List of positive integer factors of 47560 that divides 47560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 41, 58, 82, 116, 145, 164, 205, 232, 290, 328, 410, 580, 820, 1160, 1189, 1640, 2378, 4756, 5945, 9512, 11890, 23780

Step-4: Factors of 47565

List of positive integer factors of 47565 that divides 47560 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 151, 315, 453, 755, 1057, 1359, 2265, 3171, 5285, 6795, 9513, 15855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47560 and 47565. The biggest common factor number is the GCF number.
So the greatest common factor 47560 and 47565 is 5.

Also check out the Least Common Multiple of 47560 and 47565