What is the Greatest Common Factor of 47552 and 47562?

Greatest common factor (GCF) of 47552 and 47562 is 2.

GCF(47552,47562) = 2

We will now calculate the prime factors of 47552 and 47562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47552 and 47562.

How to find the GCF of 47552 and 47562?

We will first find the prime factorization of 47552 and 47562. After we will calculate the factors of 47552 and 47562 and find the biggest common factor number .

Step-1: Prime Factorization of 47552

Prime factors of 47552 are 2, 743. Prime factorization of 47552 in exponential form is:

47552 = 2⁶ × 743¹

Step-2: Prime Factorization of 47562

Prime factors of 47562 are 2, 3, 7927. Prime factorization of 47562 in exponential form is:

47562 = 2¹ × 3¹ × 7927¹

Step-3: Factors of 47552

List of positive integer factors of 47552 that divides 47552 without a remainder.

1, 2, 4, 8, 16, 32, 64, 743, 1486, 2972, 5944, 11888, 23776

Step-4: Factors of 47562

List of positive integer factors of 47562 that divides 47552 without a remainder.

1, 2, 3, 6, 7927, 15854, 23781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47552 and 47562. The biggest common factor number is the GCF number.
So the greatest common factor 47552 and 47562 is 2.

Also check out the Least Common Multiple of 47552 and 47562