What is the Greatest Common Factor of 47744 and 47762?

Greatest common factor (GCF) of 47744 and 47762 is 2.

GCF(47744,47762) = 2

We will now calculate the prime factors of 47744 and 47762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47744 and 47762.

How to find the GCF of 47744 and 47762?

We will first find the prime factorization of 47744 and 47762. After we will calculate the factors of 47744 and 47762 and find the biggest common factor number .

Step-1: Prime Factorization of 47744

Prime factors of 47744 are 2, 373. Prime factorization of 47744 in exponential form is:

47744 = 2⁷ × 373¹

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 47744

List of positive integer factors of 47744 that divides 47744 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 373, 746, 1492, 2984, 5968, 11936, 23872

Step-4: Factors of 47762

List of positive integer factors of 47762 that divides 47744 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 47744 and 47762. The biggest common factor number is the GCF number.
So the greatest common factor 47744 and 47762 is 2.

Also check out the Least Common Multiple of 47744 and 47762