What is the Greatest Common Factor of 10458 and 10464?

Greatest common factor (GCF) of 10458 and 10464 is 6.

GCF(10458,10464) = 6

We will now calculate the prime factors of 10458 and 10464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10458 and 10464.

How to find the GCF of 10458 and 10464?

We will first find the prime factorization of 10458 and 10464. After we will calculate the factors of 10458 and 10464 and find the biggest common factor number .

Step-1: Prime Factorization of 10458

Prime factors of 10458 are 2, 3, 7, 83. Prime factorization of 10458 in exponential form is:

10458 = 2¹ × 3² × 7¹ × 83¹

Step-2: Prime Factorization of 10464

Prime factors of 10464 are 2, 3, 109. Prime factorization of 10464 in exponential form is:

10464 = 2⁵ × 3¹ × 109¹

Step-3: Factors of 10458

List of positive integer factors of 10458 that divides 10458 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 83, 126, 166, 249, 498, 581, 747, 1162, 1494, 1743, 3486, 5229

Step-4: Factors of 10464

List of positive integer factors of 10464 that divides 10458 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 3488, 5232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10458 and 10464. The biggest common factor number is the GCF number.
So the greatest common factor 10458 and 10464 is 6.

Also check out the Least Common Multiple of 10458 and 10464