What is the Greatest Common Factor of 71136 and 71154?

Greatest common factor (GCF) of 71136 and 71154 is 18.

GCF(71136,71154) = 18

We will now calculate the prime factors of 71136 and 71154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71136 and 71154.

How to find the GCF of 71136 and 71154?

We will first find the prime factorization of 71136 and 71154. After we will calculate the factors of 71136 and 71154 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 71154

Prime factors of 71154 are 2, 3, 59, 67. Prime factorization of 71154 in exponential form is:

71154 = 2¹ × 3² × 59¹ × 67¹

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 71154

List of positive integer factors of 71154 that divides 71136 without a remainder.

1, 2, 3, 6, 9, 18, 59, 67, 118, 134, 177, 201, 354, 402, 531, 603, 1062, 1206, 3953, 7906, 11859, 23718, 35577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71136 and 71154. The biggest common factor number is the GCF number.
So the greatest common factor 71136 and 71154 is 18.

Also check out the Least Common Multiple of 71136 and 71154