What is the Greatest Common Factor of 46469 and 46488?

Greatest common factor (GCF) of 46469 and 46488 is 1.

GCF(46469,46488) = 1

We will now calculate the prime factors of 46469 and 46488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46469 and 46488.

How to find the GCF of 46469 and 46488?

We will first find the prime factorization of 46469 and 46488. After we will calculate the factors of 46469 and 46488 and find the biggest common factor number .

Step-1: Prime Factorization of 46469

Prime factors of 46469 are 31, 1499. Prime factorization of 46469 in exponential form is:

46469 = 31¹ × 1499¹

Step-2: Prime Factorization of 46488

Prime factors of 46488 are 2, 3, 13, 149. Prime factorization of 46488 in exponential form is:

46488 = 2³ × 3¹ × 13¹ × 149¹

Step-3: Factors of 46469

List of positive integer factors of 46469 that divides 46469 without a remainder.

1, 31, 1499

Step-4: Factors of 46488

List of positive integer factors of 46488 that divides 46469 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 149, 156, 298, 312, 447, 596, 894, 1192, 1788, 1937, 3576, 3874, 5811, 7748, 11622, 15496, 23244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46469 and 46488. The biggest common factor number is the GCF number.
So the greatest common factor 46469 and 46488 is 1.

Also check out the Least Common Multiple of 46469 and 46488