What is the Greatest Common Factor of 10472 and 10486?

Greatest common factor (GCF) of 10472 and 10486 is 14.

GCF(10472,10486) = 14

We will now calculate the prime factors of 10472 and 10486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10472 and 10486.

How to find the GCF of 10472 and 10486?

We will first find the prime factorization of 10472 and 10486. After we will calculate the factors of 10472 and 10486 and find the biggest common factor number .

Step-1: Prime Factorization of 10472

Prime factors of 10472 are 2, 7, 11, 17. Prime factorization of 10472 in exponential form is:

10472 = 2³ × 7¹ × 11¹ × 17¹

Step-2: Prime Factorization of 10486

Prime factors of 10486 are 2, 7, 107. Prime factorization of 10486 in exponential form is:

10486 = 2¹ × 7² × 107¹

Step-3: Factors of 10472

List of positive integer factors of 10472 that divides 10472 without a remainder.

1, 2, 4, 7, 8, 11, 14, 17, 22, 28, 34, 44, 56, 68, 77, 88, 119, 136, 154, 187, 238, 308, 374, 476, 616, 748, 952, 1309, 1496, 2618, 5236

Step-4: Factors of 10486

List of positive integer factors of 10486 that divides 10472 without a remainder.

1, 2, 7, 14, 49, 98, 107, 214, 749, 1498, 5243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10472 and 10486. The biggest common factor number is the GCF number.
So the greatest common factor 10472 and 10486 is 14.

Also check out the Least Common Multiple of 10472 and 10486