What is the Greatest Common Factor of 5642 and 5652?

Greatest common factor (GCF) of 5642 and 5652 is 2.

GCF(5642,5652) = 2

We will now calculate the prime factors of 5642 and 5652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5642 and 5652.

How to find the GCF of 5642 and 5652?

We will first find the prime factorization of 5642 and 5652. After we will calculate the factors of 5642 and 5652 and find the biggest common factor number .

Step-1: Prime Factorization of 5642

Prime factors of 5642 are 2, 7, 13, 31. Prime factorization of 5642 in exponential form is:

5642 = 2¹ × 7¹ × 13¹ × 31¹

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 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1, 2, 7, 13, 14, 26, 31, 62, 91, 182, 217, 403, 434, 806, 2821

Step-4: Factors of 5652

List of positive integer factors of 5652 that divides 5642 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 5642 and 5652. The biggest common factor number is the GCF number.
So the greatest common factor 5642 and 5652 is 2.

Also check out the Least Common Multiple of 5642 and 5652