What is the Greatest Common Factor of 47474 and 47488?

Greatest common factor (GCF) of 47474 and 47488 is 14.

GCF(47474,47488) = 14

We will now calculate the prime factors of 47474 and 47488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47474 and 47488.

How to find the GCF of 47474 and 47488?

We will first find the prime factorization of 47474 and 47488. After we will calculate the factors of 47474 and 47488 and find the biggest common factor number .

Step-1: Prime Factorization of 47474

Prime factors of 47474 are 2, 7, 3391. Prime factorization of 47474 in exponential form is:

47474 = 2¹ × 7¹ × 3391¹

Step-2: Prime Factorization of 47488

Prime factors of 47488 are 2, 7, 53. Prime factorization of 47488 in exponential form is:

47488 = 2⁷ × 7¹ × 53¹

Step-3: Factors of 47474

List of positive integer factors of 47474 that divides 47474 without a remainder.

1, 2, 7, 14, 3391, 6782, 23737

Step-4: Factors of 47488

List of positive integer factors of 47488 that divides 47474 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 64, 106, 112, 128, 212, 224, 371, 424, 448, 742, 848, 896, 1484, 1696, 2968, 3392, 5936, 6784, 11872, 23744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47474 and 47488. The biggest common factor number is the GCF number.
So the greatest common factor 47474 and 47488 is 14.

Also check out the Least Common Multiple of 47474 and 47488