What is the Greatest Common Factor of 10514 and 10528?

Greatest common factor (GCF) of 10514 and 10528 is 14.

GCF(10514,10528) = 14

We will now calculate the prime factors of 10514 and 10528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10514 and 10528.

How to find the GCF of 10514 and 10528?

We will first find the prime factorization of 10514 and 10528. After we will calculate the factors of 10514 and 10528 and find the biggest common factor number .

Step-1: Prime Factorization of 10514

Prime factors of 10514 are 2, 7, 751. Prime factorization of 10514 in exponential form is:

10514 = 2¹ × 7¹ × 751¹

Step-2: 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-3: Factors of 10514

List of positive integer factors of 10514 that divides 10514 without a remainder.

1, 2, 7, 14, 751, 1502, 5257

Step-4: Factors of 10528

List of positive integer factors of 10528 that divides 10514 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10514 and 10528. The biggest common factor number is the GCF number.
So the greatest common factor 10514 and 10528 is 14.

Also check out the Least Common Multiple of 10514 and 10528