What is the Greatest Common Factor of 47470 and 47480?

Greatest common factor (GCF) of 47470 and 47480 is 10.

GCF(47470,47480) = 10

We will now calculate the prime factors of 47470 and 47480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47470 and 47480.

How to find the GCF of 47470 and 47480?

We will first find the prime factorization of 47470 and 47480. After we will calculate the factors of 47470 and 47480 and find the biggest common factor number .

Step-1: Prime Factorization of 47470

Prime factors of 47470 are 2, 5, 47, 101. Prime factorization of 47470 in exponential form is:

47470 = 2¹ × 5¹ × 47¹ × 101¹

Step-2: Prime Factorization of 47480

Prime factors of 47480 are 2, 5, 1187. Prime factorization of 47480 in exponential form is:

47480 = 2³ × 5¹ × 1187¹

Step-3: Factors of 47470

List of positive integer factors of 47470 that divides 47470 without a remainder.

1, 2, 5, 10, 47, 94, 101, 202, 235, 470, 505, 1010, 4747, 9494, 23735

Step-4: Factors of 47480

List of positive integer factors of 47480 that divides 47470 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1187, 2374, 4748, 5935, 9496, 11870, 23740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47470 and 47480. The biggest common factor number is the GCF number.
So the greatest common factor 47470 and 47480 is 10.

Also check out the Least Common Multiple of 47470 and 47480