What is the Greatest Common Factor of 47762 and 47768?

Greatest common factor (GCF) of 47762 and 47768 is 2.

GCF(47762,47768) = 2

We will now calculate the prime factors of 47762 and 47768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47762 and 47768.

How to find the GCF of 47762 and 47768?

We will first find the prime factorization of 47762 and 47768. After we will calculate the factors of 47762 and 47768 and find the biggest common factor number .

Step-1: Prime Factorization of 47762

Prime factors of 47762 are 2, 11, 13, 167. Prime factorization of 47762 in exponential form is:

47762 = 2¹ × 11¹ × 13¹ × 167¹

Step-2: 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-3: Factors of 47762

List of positive integer factors of 47762 that divides 47762 without a remainder.

1, 2, 11, 13, 22, 26, 143, 167, 286, 334, 1837, 2171, 3674, 4342, 23881

Step-4: Factors of 47768

List of positive integer factors of 47768 that divides 47762 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47762 and 47768. The biggest common factor number is the GCF number.
So the greatest common factor 47762 and 47768 is 2.

Also check out the Least Common Multiple of 47762 and 47768