What is the Greatest Common Factor of 52640 and 52648?

Greatest common factor (GCF) of 52640 and 52648 is 8.

GCF(52640,52648) = 8

We will now calculate the prime factors of 52640 and 52648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52640 and 52648.

How to find the GCF of 52640 and 52648?

We will first find the prime factorization of 52640 and 52648. After we will calculate the factors of 52640 and 52648 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 52648

Prime factors of 52648 are 2, 6581. Prime factorization of 52648 in exponential form is:

52648 = 2³ × 6581¹

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 52648

List of positive integer factors of 52648 that divides 52640 without a remainder.

1, 2, 4, 8, 6581, 13162, 26324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52640 and 52648. The biggest common factor number is the GCF number.
So the greatest common factor 52640 and 52648 is 8.

Also check out the Least Common Multiple of 52640 and 52648