What is the Greatest Common Factor of 72488 and 72492?

Greatest common factor (GCF) of 72488 and 72492 is 4.

GCF(72488,72492) = 4

We will now calculate the prime factors of 72488 and 72492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72488 and 72492.

How to find the GCF of 72488 and 72492?

We will first find the prime factorization of 72488 and 72492. After we will calculate the factors of 72488 and 72492 and find the biggest common factor number .

Step-1: Prime Factorization of 72488

Prime factors of 72488 are 2, 13, 17, 41. Prime factorization of 72488 in exponential form is:

72488 = 2³ × 13¹ × 17¹ × 41¹

Step-2: 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-3: Factors of 72488

List of positive integer factors of 72488 that divides 72488 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 41, 52, 68, 82, 104, 136, 164, 221, 328, 442, 533, 697, 884, 1066, 1394, 1768, 2132, 2788, 4264, 5576, 9061, 18122, 36244

Step-4: Factors of 72492

List of positive integer factors of 72492 that divides 72488 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72488 and 72492. The biggest common factor number is the GCF number.
So the greatest common factor 72488 and 72492 is 4.

Also check out the Least Common Multiple of 72488 and 72492