What is the Greatest Common Factor of 52640 and 52646?

Greatest common factor (GCF) of 52640 and 52646 is 2.

GCF(52640,52646) = 2

We will now calculate the prime factors of 52640 and 52646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52640 and 52646.

How to find the GCF of 52640 and 52646?

We will first find the prime factorization of 52640 and 52646. After we will calculate the factors of 52640 and 52646 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 52646

Prime factors of 52646 are 2, 11, 2393. Prime factorization of 52646 in exponential form is:

52646 = 2¹ × 11¹ × 2393¹

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 52646

List of positive integer factors of 52646 that divides 52640 without a remainder.

1, 2, 11, 22, 2393, 4786, 26323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52640 and 52646. The biggest common factor number is the GCF number.
So the greatest common factor 52640 and 52646 is 2.

Also check out the Least Common Multiple of 52640 and 52646