What is the Greatest Common Factor of 5640 and 5652?

Greatest common factor (GCF) of 5640 and 5652 is 12.

GCF(5640,5652) = 12

We will now calculate the prime factors of 5640 and 5652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5640 and 5652.

How to find the GCF of 5640 and 5652?

We will first find the prime factorization of 5640 and 5652. After we will calculate the factors of 5640 and 5652 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 5652

Prime factors of 5652 are 2, 3, 157. Prime factorization of 5652 in exponential form is:

5652 = 2² × 3² × 157¹

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 5652

List of positive integer factors of 5652 that divides 5640 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5640 and 5652. The biggest common factor number is the GCF number.
So the greatest common factor 5640 and 5652 is 12.

Also check out the Least Common Multiple of 5640 and 5652