What is the Greatest Common Factor of 47749 and 47762?

Greatest common factor (GCF) of 47749 and 47762 is 13.

GCF(47749,47762) = 13

We will now calculate the prime factors of 47749 and 47762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47749 and 47762.

How to find the GCF of 47749 and 47762?

We will first find the prime factorization of 47749 and 47762. After we will calculate the factors of 47749 and 47762 and find the biggest common factor number .

Step-1: Prime Factorization of 47749

Prime factors of 47749 are 13, 3673. Prime factorization of 47749 in exponential form is:

47749 = 13¹ × 3673¹

Step-2: 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-3: Factors of 47749

List of positive integer factors of 47749 that divides 47749 without a remainder.

1, 13, 3673

Step-4: Factors of 47762

List of positive integer factors of 47762 that divides 47749 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47749 and 47762. The biggest common factor number is the GCF number.
So the greatest common factor 47749 and 47762 is 13.

Also check out the Least Common Multiple of 47749 and 47762