What is the Greatest Common Factor of 52640 and 52658?

Greatest common factor (GCF) of 52640 and 52658 is 2.

GCF(52640,52658) = 2

We will now calculate the prime factors of 52640 and 52658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52640 and 52658.

How to find the GCF of 52640 and 52658?

We will first find the prime factorization of 52640 and 52658. After we will calculate the factors of 52640 and 52658 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 52658

Prime factors of 52658 are 2, 113, 233. Prime factorization of 52658 in exponential form is:

52658 = 2¹ × 113¹ × 233¹

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 52658

List of positive integer factors of 52658 that divides 52640 without a remainder.

1, 2, 113, 226, 233, 466, 26329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52640 and 52658. The biggest common factor number is the GCF number.
So the greatest common factor 52640 and 52658 is 2.

Also check out the Least Common Multiple of 52640 and 52658