What is the Greatest Common Factor of 71136 and 71142?

Greatest common factor (GCF) of 71136 and 71142 is 6.

GCF(71136,71142) = 6

We will now calculate the prime factors of 71136 and 71142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71136 and 71142.

How to find the GCF of 71136 and 71142?

We will first find the prime factorization of 71136 and 71142. After we will calculate the factors of 71136 and 71142 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 71142

Prime factors of 71142 are 2, 3, 71, 167. Prime factorization of 71142 in exponential form is:

71142 = 2¹ × 3¹ × 71¹ × 167¹

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 71142

List of positive integer factors of 71142 that divides 71136 without a remainder.

1, 2, 3, 6, 71, 142, 167, 213, 334, 426, 501, 1002, 11857, 23714, 35571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71136 and 71142. The biggest common factor number is the GCF number.
So the greatest common factor 71136 and 71142 is 6.

Also check out the Least Common Multiple of 71136 and 71142