What is the Greatest Common Factor of 72492 and 72510?

Greatest common factor (GCF) of 72492 and 72510 is 6.

GCF(72492,72510) = 6

We will now calculate the prime factors of 72492 and 72510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72492 and 72510.

How to find the GCF of 72492 and 72510?

We will first find the prime factorization of 72492 and 72510. After we will calculate the factors of 72492 and 72510 and find the biggest common factor number .

Step-1: Prime Factorization of 72492

Prime factors of 72492 are 2, 3, 7, 863. Prime factorization of 72492 in exponential form is:

72492 = 2² × 3¹ × 7¹ × 863¹

Step-2: Prime Factorization of 72510

Prime factors of 72510 are 2, 3, 5, 2417. Prime factorization of 72510 in exponential form is:

72510 = 2¹ × 3¹ × 5¹ × 2417¹

Step-3: Factors of 72492

List of positive integer factors of 72492 that divides 72492 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 863, 1726, 2589, 3452, 5178, 6041, 10356, 12082, 18123, 24164, 36246

Step-4: Factors of 72510

List of positive integer factors of 72510 that divides 72492 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2417, 4834, 7251, 12085, 14502, 24170, 36255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72492 and 72510. The biggest common factor number is the GCF number.
So the greatest common factor 72492 and 72510 is 6.

Also check out the Least Common Multiple of 72492 and 72510