What is the Greatest Common Factor of 10528 and 10540?

Greatest common factor (GCF) of 10528 and 10540 is 4.

GCF(10528,10540) = 4

We will now calculate the prime factors of 10528 and 10540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10528 and 10540.

How to find the GCF of 10528 and 10540?

We will first find the prime factorization of 10528 and 10540. After we will calculate the factors of 10528 and 10540 and find the biggest common factor number .

Step-1: Prime Factorization of 10528

Prime factors of 10528 are 2, 7, 47. Prime factorization of 10528 in exponential form is:

10528 = 2⁵ × 7¹ × 47¹

Step-2: Prime Factorization of 10540

Prime factors of 10540 are 2, 5, 17, 31. Prime factorization of 10540 in exponential form is:

10540 = 2² × 5¹ × 17¹ × 31¹

Step-3: Factors of 10528

List of positive integer factors of 10528 that divides 10528 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 94, 112, 188, 224, 329, 376, 658, 752, 1316, 1504, 2632, 5264

Step-4: Factors of 10540

List of positive integer factors of 10540 that divides 10528 without a remainder.

1, 2, 4, 5, 10, 17, 20, 31, 34, 62, 68, 85, 124, 155, 170, 310, 340, 527, 620, 1054, 2108, 2635, 5270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10528 and 10540. The biggest common factor number is the GCF number.
So the greatest common factor 10528 and 10540 is 4.

Also check out the Least Common Multiple of 10528 and 10540