What is the Greatest Common Factor of 34472 and 34480?

Greatest common factor (GCF) of 34472 and 34480 is 8.

GCF(34472,34480) = 8

We will now calculate the prime factors of 34472 and 34480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34472 and 34480.

How to find the GCF of 34472 and 34480?

We will first find the prime factorization of 34472 and 34480. After we will calculate the factors of 34472 and 34480 and find the biggest common factor number .

Step-1: Prime Factorization of 34472

Prime factors of 34472 are 2, 31, 139. Prime factorization of 34472 in exponential form is:

34472 = 2³ × 31¹ × 139¹

Step-2: 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-3: Factors of 34472

List of positive integer factors of 34472 that divides 34472 without a remainder.

1, 2, 4, 8, 31, 62, 124, 139, 248, 278, 556, 1112, 4309, 8618, 17236

Step-4: Factors of 34480

List of positive integer factors of 34480 that divides 34472 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34472 and 34480. The biggest common factor number is the GCF number.
So the greatest common factor 34472 and 34480 is 8.

Also check out the Least Common Multiple of 34472 and 34480