What is the Greatest Common Factor of 65560 and 65575?

Greatest common factor (GCF) of 65560 and 65575 is 5.

GCF(65560,65575) = 5

We will now calculate the prime factors of 65560 and 65575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65560 and 65575.

How to find the GCF of 65560 and 65575?

We will first find the prime factorization of 65560 and 65575. After we will calculate the factors of 65560 and 65575 and find the biggest common factor number .

Step-1: Prime Factorization of 65560

Prime factors of 65560 are 2, 5, 11, 149. Prime factorization of 65560 in exponential form is:

65560 = 2³ × 5¹ × 11¹ × 149¹

Step-2: Prime Factorization of 65575

Prime factors of 65575 are 5, 43, 61. Prime factorization of 65575 in exponential form is:

65575 = 5² × 43¹ × 61¹

Step-3: Factors of 65560

List of positive integer factors of 65560 that divides 65560 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 149, 220, 298, 440, 596, 745, 1192, 1490, 1639, 2980, 3278, 5960, 6556, 8195, 13112, 16390, 32780

Step-4: Factors of 65575

List of positive integer factors of 65575 that divides 65560 without a remainder.

1, 5, 25, 43, 61, 215, 305, 1075, 1525, 2623, 13115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65560 and 65575. The biggest common factor number is the GCF number.
So the greatest common factor 65560 and 65575 is 5.

Also check out the Least Common Multiple of 65560 and 65575