What is the Greatest Common Factor of 10469 and 10488?

Greatest common factor (GCF) of 10469 and 10488 is 19.

GCF(10469,10488) = 19

We will now calculate the prime factors of 10469 and 10488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10469 and 10488.

How to find the GCF of 10469 and 10488?

We will first find the prime factorization of 10469 and 10488. After we will calculate the factors of 10469 and 10488 and find the biggest common factor number .

Step-1: Prime Factorization of 10469

Prime factors of 10469 are 19, 29. Prime factorization of 10469 in exponential form is:

10469 = 19² × 29¹

Step-2: Prime Factorization of 10488

Prime factors of 10488 are 2, 3, 19, 23. Prime factorization of 10488 in exponential form is:

10488 = 2³ × 3¹ × 19¹ × 23¹

Step-3: Factors of 10469

List of positive integer factors of 10469 that divides 10469 without a remainder.

1, 19, 29, 361, 551

Step-4: Factors of 10488

List of positive integer factors of 10488 that divides 10469 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 23, 24, 38, 46, 57, 69, 76, 92, 114, 138, 152, 184, 228, 276, 437, 456, 552, 874, 1311, 1748, 2622, 3496, 5244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10469 and 10488. The biggest common factor number is the GCF number.
So the greatest common factor 10469 and 10488 is 19.

Also check out the Least Common Multiple of 10469 and 10488