What is the Greatest Common Factor of 65540 and 65560?

Greatest common factor (GCF) of 65540 and 65560 is 20.

GCF(65540,65560) = 20

We will now calculate the prime factors of 65540 and 65560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65540 and 65560.

How to find the GCF of 65540 and 65560?

We will first find the prime factorization of 65540 and 65560. After we will calculate the factors of 65540 and 65560 and find the biggest common factor number .

Step-1: Prime Factorization of 65540

Prime factors of 65540 are 2, 5, 29, 113. Prime factorization of 65540 in exponential form is:

65540 = 2² × 5¹ × 29¹ × 113¹

Step-2: 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-3: Factors of 65540

List of positive integer factors of 65540 that divides 65540 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 113, 116, 145, 226, 290, 452, 565, 580, 1130, 2260, 3277, 6554, 13108, 16385, 32770

Step-4: Factors of 65560

List of positive integer factors of 65560 that divides 65540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65540 and 65560. The biggest common factor number is the GCF number.
So the greatest common factor 65540 and 65560 is 20.

Also check out the Least Common Multiple of 65540 and 65560