What is the Greatest Common Factor of 71552 and 71562?

Greatest common factor (GCF) of 71552 and 71562 is 2.

GCF(71552,71562) = 2

We will now calculate the prime factors of 71552 and 71562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71552 and 71562.

How to find the GCF of 71552 and 71562?

We will first find the prime factorization of 71552 and 71562. After we will calculate the factors of 71552 and 71562 and find the biggest common factor number .

Step-1: Prime Factorization of 71552

Prime factors of 71552 are 2, 13, 43. Prime factorization of 71552 in exponential form is:

71552 = 2⁷ × 13¹ × 43¹

Step-2: Prime Factorization of 71562

Prime factors of 71562 are 2, 3, 11927. Prime factorization of 71562 in exponential form is:

71562 = 2¹ × 3¹ × 11927¹

Step-3: Factors of 71552

List of positive integer factors of 71552 that divides 71552 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 43, 52, 64, 86, 104, 128, 172, 208, 344, 416, 559, 688, 832, 1118, 1376, 1664, 2236, 2752, 4472, 5504, 8944, 17888, 35776

Step-4: Factors of 71562

List of positive integer factors of 71562 that divides 71552 without a remainder.

1, 2, 3, 6, 11927, 23854, 35781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71552 and 71562. The biggest common factor number is the GCF number.
So the greatest common factor 71552 and 71562 is 2.

Also check out the Least Common Multiple of 71552 and 71562