What is the Greatest Common Factor of 47762 and 47773?

Greatest common factor (GCF) of 47762 and 47773 is 11.

GCF(47762,47773) = 11

We will now calculate the prime factors of 47762 and 47773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47762 and 47773.

How to find the GCF of 47762 and 47773?

We will first find the prime factorization of 47762 and 47773. After we will calculate the factors of 47762 and 47773 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 47773

Prime factors of 47773 are 11, 43, 101. Prime factorization of 47773 in exponential form is:

47773 = 11¹ × 43¹ × 101¹

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 47773

List of positive integer factors of 47773 that divides 47762 without a remainder.

1, 11, 43, 101, 473, 1111, 4343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47762 and 47773. The biggest common factor number is the GCF number.
So the greatest common factor 47762 and 47773 is 11.

Also check out the Least Common Multiple of 47762 and 47773