What is the Greatest Common Factor of 10472 and 10489?

Greatest common factor (GCF) of 10472 and 10489 is 17.

GCF(10472,10489) = 17

We will now calculate the prime factors of 10472 and 10489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10472 and 10489.

How to find the GCF of 10472 and 10489?

We will first find the prime factorization of 10472 and 10489. After we will calculate the factors of 10472 and 10489 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 10489

Prime factors of 10489 are 17, 617. Prime factorization of 10489 in exponential form is:

10489 = 17¹ × 617¹

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 10489

List of positive integer factors of 10489 that divides 10472 without a remainder.

1, 17, 617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10472 and 10489. The biggest common factor number is the GCF number.
So the greatest common factor 10472 and 10489 is 17.

Also check out the Least Common Multiple of 10472 and 10489