What is the Greatest Common Factor of 5640 and 5656?

Greatest common factor (GCF) of 5640 and 5656 is 8.

GCF(5640,5656) = 8

We will now calculate the prime factors of 5640 and 5656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5640 and 5656.

How to find the GCF of 5640 and 5656?

We will first find the prime factorization of 5640 and 5656. After we will calculate the factors of 5640 and 5656 and find the biggest common factor number .

Step-1: Prime Factorization of 5640

Prime factors of 5640 are 2, 3, 5, 47. Prime factorization of 5640 in exponential form is:

5640 = 2³ × 3¹ × 5¹ × 47¹

Step-2: Prime Factorization of 5656

Prime factors of 5656 are 2, 7, 101. Prime factorization of 5656 in exponential form is:

5656 = 2³ × 7¹ × 101¹

Step-3: Factors of 5640

List of positive integer factors of 5640 that divides 5640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820

Step-4: Factors of 5656

List of positive integer factors of 5656 that divides 5640 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5640 and 5656. The biggest common factor number is the GCF number.
So the greatest common factor 5640 and 5656 is 8.

Also check out the Least Common Multiple of 5640 and 5656