What is the Greatest Common Factor of 10452 and 10458?

Greatest common factor (GCF) of 10452 and 10458 is 6.

GCF(10452,10458) = 6

We will now calculate the prime factors of 10452 and 10458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10452 and 10458.

How to find the GCF of 10452 and 10458?

We will first find the prime factorization of 10452 and 10458. After we will calculate the factors of 10452 and 10458 and find the biggest common factor number .

Step-1: Prime Factorization of 10452

Prime factors of 10452 are 2, 3, 13, 67. Prime factorization of 10452 in exponential form is:

10452 = 2² × 3¹ × 13¹ × 67¹

Step-2: 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-3: Factors of 10452

List of positive integer factors of 10452 that divides 10452 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 67, 78, 134, 156, 201, 268, 402, 804, 871, 1742, 2613, 3484, 5226

Step-4: Factors of 10458

List of positive integer factors of 10458 that divides 10452 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10452 and 10458. The biggest common factor number is the GCF number.
So the greatest common factor 10452 and 10458 is 6.

Also check out the Least Common Multiple of 10452 and 10458