What is the Greatest Common Factor of 34480 and 34487?

Greatest common factor (GCF) of 34480 and 34487 is 1.

GCF(34480,34487) = 1

We will now calculate the prime factors of 34480 and 34487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34480 and 34487.

How to find the GCF of 34480 and 34487?

We will first find the prime factorization of 34480 and 34487. After we will calculate the factors of 34480 and 34487 and find the biggest common factor number .

Step-1: Prime Factorization of 34480

Prime factors of 34480 are 2, 5, 431. Prime factorization of 34480 in exponential form is:

34480 = 2⁴ × 5¹ × 431¹

Step-2: Prime Factorization of 34487

Prime factors of 34487 are 34487. Prime factorization of 34487 in exponential form is:

34487 = 34487¹

Step-3: Factors of 34480

List of positive integer factors of 34480 that divides 34480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 431, 862, 1724, 2155, 3448, 4310, 6896, 8620, 17240

Step-4: Factors of 34487

List of positive integer factors of 34487 that divides 34480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34480 and 34487. The biggest common factor number is the GCF number.
So the greatest common factor 34480 and 34487 is 1.

Also check out the Least Common Multiple of 34480 and 34487