What is the Greatest Common Factor of 46469 and 46480?

Greatest common factor (GCF) of 46469 and 46480 is 1.

GCF(46469,46480) = 1

We will now calculate the prime factors of 46469 and 46480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46469 and 46480.

How to find the GCF of 46469 and 46480?

We will first find the prime factorization of 46469 and 46480. After we will calculate the factors of 46469 and 46480 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 46480

Prime factors of 46480 are 2, 5, 7, 83. Prime factorization of 46480 in exponential form is:

46480 = 2⁴ × 5¹ × 7¹ × 83¹

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 46480

List of positive integer factors of 46480 that divides 46469 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 83, 112, 140, 166, 280, 332, 415, 560, 581, 664, 830, 1162, 1328, 1660, 2324, 2905, 3320, 4648, 5810, 6640, 9296, 11620, 23240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46469 and 46480. The biggest common factor number is the GCF number.
So the greatest common factor 46469 and 46480 is 1.

Also check out the Least Common Multiple of 46469 and 46480