What is the Greatest Common Factor of 71136 and 71143?

Greatest common factor (GCF) of 71136 and 71143 is 1.

GCF(71136,71143) = 1

We will now calculate the prime factors of 71136 and 71143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71136 and 71143.

How to find the GCF of 71136 and 71143?

We will first find the prime factorization of 71136 and 71143. After we will calculate the factors of 71136 and 71143 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 71143

Prime factors of 71143 are 71143. Prime factorization of 71143 in exponential form is:

71143 = 71143¹

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 71143

List of positive integer factors of 71143 that divides 71136 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71136 and 71143. The biggest common factor number is the GCF number.
So the greatest common factor 71136 and 71143 is 1.

Also check out the Least Common Multiple of 71136 and 71143