What is the Greatest Common Factor of 71117 and 71136?

Greatest common factor (GCF) of 71117 and 71136 is 19.

GCF(71117,71136) = 19

We will now calculate the prime factors of 71117 and 71136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71117 and 71136.

How to find the GCF of 71117 and 71136?

We will first find the prime factorization of 71117 and 71136. After we will calculate the factors of 71117 and 71136 and find the biggest common factor number .

Step-1: Prime Factorization of 71117

Prime factors of 71117 are 19, 197. Prime factorization of 71117 in exponential form is:

71117 = 19² × 197¹

Step-2: 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-3: Factors of 71117

List of positive integer factors of 71117 that divides 71117 without a remainder.

1, 19, 197, 361, 3743

Step-4: Factors of 71136

List of positive integer factors of 71136 that divides 71117 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71117 and 71136. The biggest common factor number is the GCF number.
So the greatest common factor 71117 and 71136 is 19.

Also check out the Least Common Multiple of 71117 and 71136