What is the Greatest Common Factor of 52640 and 52652?

Greatest common factor (GCF) of 52640 and 52652 is 4.

GCF(52640,52652) = 4

We will now calculate the prime factors of 52640 and 52652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52640 and 52652.

How to find the GCF of 52640 and 52652?

We will first find the prime factorization of 52640 and 52652. After we will calculate the factors of 52640 and 52652 and find the biggest common factor number .

Step-1: Prime Factorization of 52640

Prime factors of 52640 are 2, 5, 7, 47. Prime factorization of 52640 in exponential form is:

52640 = 2⁵ × 5¹ × 7¹ × 47¹

Step-2: Prime Factorization of 52652

Prime factors of 52652 are 2, 13163. Prime factorization of 52652 in exponential form is:

52652 = 2² × 13163¹

Step-3: Factors of 52640

List of positive integer factors of 52640 that divides 52640 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 47, 56, 70, 80, 94, 112, 140, 160, 188, 224, 235, 280, 329, 376, 470, 560, 658, 752, 940, 1120, 1316, 1504, 1645, 1880, 2632, 3290, 3760, 5264, 6580, 7520, 10528, 13160, 26320

Step-4: Factors of 52652

List of positive integer factors of 52652 that divides 52640 without a remainder.

1, 2, 4, 13163, 26326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52640 and 52652. The biggest common factor number is the GCF number.
So the greatest common factor 52640 and 52652 is 4.

Also check out the Least Common Multiple of 52640 and 52652