What is the Greatest Common Factor of 71540 and 71552?

Greatest common factor (GCF) of 71540 and 71552 is 4.

GCF(71540,71552) = 4

We will now calculate the prime factors of 71540 and 71552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71540 and 71552.

How to find the GCF of 71540 and 71552?

We will first find the prime factorization of 71540 and 71552. After we will calculate the factors of 71540 and 71552 and find the biggest common factor number .

Step-1: Prime Factorization of 71540

Prime factors of 71540 are 2, 5, 7, 73. Prime factorization of 71540 in exponential form is:

71540 = 2² × 5¹ × 7² × 73¹

Step-2: 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-3: Factors of 71540

List of positive integer factors of 71540 that divides 71540 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 73, 98, 140, 146, 196, 245, 292, 365, 490, 511, 730, 980, 1022, 1460, 2044, 2555, 3577, 5110, 7154, 10220, 14308, 17885, 35770

Step-4: Factors of 71552

List of positive integer factors of 71552 that divides 71540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71540 and 71552. The biggest common factor number is the GCF number.
So the greatest common factor 71540 and 71552 is 4.

Also check out the Least Common Multiple of 71540 and 71552