What is the Greatest Common Factor of 65640 and 65656?

Greatest common factor (GCF) of 65640 and 65656 is 8.

GCF(65640,65656) = 8

We will now calculate the prime factors of 65640 and 65656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65640 and 65656.

How to find the GCF of 65640 and 65656?

We will first find the prime factorization of 65640 and 65656. After we will calculate the factors of 65640 and 65656 and find the biggest common factor number .

Step-1: Prime Factorization of 65640

Prime factors of 65640 are 2, 3, 5, 547. Prime factorization of 65640 in exponential form is:

65640 = 2³ × 3¹ × 5¹ × 547¹

Step-2: Prime Factorization of 65656

Prime factors of 65656 are 2, 29, 283. Prime factorization of 65656 in exponential form is:

65656 = 2³ × 29¹ × 283¹

Step-3: Factors of 65640

List of positive integer factors of 65640 that divides 65640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 547, 1094, 1641, 2188, 2735, 3282, 4376, 5470, 6564, 8205, 10940, 13128, 16410, 21880, 32820

Step-4: Factors of 65656

List of positive integer factors of 65656 that divides 65640 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 283, 566, 1132, 2264, 8207, 16414, 32828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65640 and 65656. The biggest common factor number is the GCF number.
So the greatest common factor 65640 and 65656 is 8.

Also check out the Least Common Multiple of 65640 and 65656