What is the Greatest Common Factor of 71136 and 71152?

Greatest common factor (GCF) of 71136 and 71152 is 16.

GCF(71136,71152) = 16

We will now calculate the prime factors of 71136 and 71152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71136 and 71152.

How to find the GCF of 71136 and 71152?

We will first find the prime factorization of 71136 and 71152. After we will calculate the factors of 71136 and 71152 and find the biggest common factor number .

Step-1: Prime Factorization of 71136

Prime factors of 71136 are 2, 3, 13, 19. Prime factorization of 71136 in exponential form is:

71136 = 2⁵ × 3² × 13¹ × 19¹

Step-2: Prime Factorization of 71152

Prime factors of 71152 are 2, 4447. Prime factorization of 71152 in exponential form is:

71152 = 2⁴ × 4447¹

Step-3: Factors of 71136

List of positive integer factors of 71136 that divides 71136 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 19, 24, 26, 32, 36, 38, 39, 48, 52, 57, 72, 76, 78, 96, 104, 114, 117, 144, 152, 156, 171, 208, 228, 234, 247, 288, 304, 312, 342, 416, 456, 468, 494, 608, 624, 684, 741, 912, 936, 988, 1248, 1368, 1482, 1824, 1872, 1976, 2223, 2736, 2964, 3744, 3952, 4446, 5472, 5928, 7904, 8892, 11856, 17784, 23712, 35568

Step-4: Factors of 71152

List of positive integer factors of 71152 that divides 71136 without a remainder.

1, 2, 4, 8, 16, 4447, 8894, 17788, 35576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71136 and 71152. The biggest common factor number is the GCF number.
So the greatest common factor 71136 and 71152 is 16.

Also check out the Least Common Multiple of 71136 and 71152