What is the Greatest Common Factor of 71552 and 71568?

Greatest common factor (GCF) of 71552 and 71568 is 16.

GCF(71552,71568) = 16

We will now calculate the prime factors of 71552 and 71568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71552 and 71568.

How to find the GCF of 71552 and 71568?

We will first find the prime factorization of 71552 and 71568. After we will calculate the factors of 71552 and 71568 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 71568

Prime factors of 71568 are 2, 3, 7, 71. Prime factorization of 71568 in exponential form is:

71568 = 2⁴ × 3² × 7¹ × 71¹

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 71568

List of positive integer factors of 71568 that divides 71552 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 71, 72, 84, 112, 126, 142, 144, 168, 213, 252, 284, 336, 426, 497, 504, 568, 639, 852, 994, 1008, 1136, 1278, 1491, 1704, 1988, 2556, 2982, 3408, 3976, 4473, 5112, 5964, 7952, 8946, 10224, 11928, 17892, 23856, 35784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71552 and 71568. The biggest common factor number is the GCF number.
So the greatest common factor 71552 and 71568 is 16.

Also check out the Least Common Multiple of 71552 and 71568