What is the Greatest Common Factor of 72473 and 72488?

Greatest common factor (GCF) of 72473 and 72488 is 1.

GCF(72473,72488) = 1

We will now calculate the prime factors of 72473 and 72488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72473 and 72488.

How to find the GCF of 72473 and 72488?

We will first find the prime factorization of 72473 and 72488. After we will calculate the factors of 72473 and 72488 and find the biggest common factor number .

Step-1: Prime Factorization of 72473

Prime factors of 72473 are 23, 137. Prime factorization of 72473 in exponential form is:

72473 = 23² × 137¹

Step-2: 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-3: Factors of 72473

List of positive integer factors of 72473 that divides 72473 without a remainder.

1, 23, 137, 529, 3151

Step-4: Factors of 72488

List of positive integer factors of 72488 that divides 72473 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72473 and 72488. The biggest common factor number is the GCF number.
So the greatest common factor 72473 and 72488 is 1.

Also check out the Least Common Multiple of 72473 and 72488