What is the Greatest Common Factor of 71552 and 71560?
Greatest common factor (GCF) of 71552 and 71560 is 8.
GCF(71552,71560) = 8
We will now calculate the prime factors of 71552 and 71560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71552 and 71560.
How to find the GCF of 71552 and 71560?
We will first find the prime factorization of 71552 and 71560. After we will calculate the factors of 71552 and 71560 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 71560
Prime factors of 71560 are 2, 5, 1789. Prime factorization of 71560 in exponential form is:
71560 = 23 × 51 × 17891
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 71560
List of positive integer factors of 71560 that divides 71552 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 1789, 3578, 7156, 8945, 14312, 17890, 35780
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 71552 and 71560. The biggest common factor number is the GCF number.
So the greatest common factor 71552 and 71560 is 8.
Also check out the Least Common Multiple of 71552 and 71560
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