What is the Greatest Common Factor of 10472 and 10492?

Greatest common factor (GCF) of 10472 and 10492 is 4.

GCF(10472,10492) = 4

We will now calculate the prime factors of 10472 and 10492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10472 and 10492.

How to find the GCF of 10472 and 10492?

We will first find the prime factorization of 10472 and 10492. After we will calculate the factors of 10472 and 10492 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 10492

Prime factors of 10492 are 2, 43, 61. Prime factorization of 10492 in exponential form is:

10492 = 2² × 43¹ × 61¹

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 10492

List of positive integer factors of 10492 that divides 10472 without a remainder.

1, 2, 4, 43, 61, 86, 122, 172, 244, 2623, 5246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10472 and 10492. The biggest common factor number is the GCF number.
So the greatest common factor 10472 and 10492 is 4.

Also check out the Least Common Multiple of 10472 and 10492