What is the Greatest Common Factor of 47768 and 47775?

Greatest common factor (GCF) of 47768 and 47775 is 7.

GCF(47768,47775) = 7

We will now calculate the prime factors of 47768 and 47775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47768 and 47775.

How to find the GCF of 47768 and 47775?

We will first find the prime factorization of 47768 and 47775. After we will calculate the factors of 47768 and 47775 and find the biggest common factor number .

Step-1: Prime Factorization of 47768

Prime factors of 47768 are 2, 7, 853. Prime factorization of 47768 in exponential form is:

47768 = 2³ × 7¹ × 853¹

Step-2: Prime Factorization of 47775

Prime factors of 47775 are 3, 5, 7, 13. Prime factorization of 47775 in exponential form is:

47775 = 3¹ × 5² × 7² × 13¹

Step-3: Factors of 47768

List of positive integer factors of 47768 that divides 47768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 853, 1706, 3412, 5971, 6824, 11942, 23884

Step-4: Factors of 47775

List of positive integer factors of 47775 that divides 47768 without a remainder.

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 49, 65, 75, 91, 105, 147, 175, 195, 245, 273, 325, 455, 525, 637, 735, 975, 1225, 1365, 1911, 2275, 3185, 3675, 6825, 9555, 15925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47768 and 47775. The biggest common factor number is the GCF number.
So the greatest common factor 47768 and 47775 is 7.

Also check out the Least Common Multiple of 47768 and 47775