What is the Greatest Common Factor of 77121 and 77140?
Greatest common factor (GCF) of 77121 and 77140 is 19.
GCF(77121,77140) = 19
We will now calculate the prime factors of 77121 and 77140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77121 and 77140.
How to find the GCF of 77121 and 77140?
We will first find the prime factorization of 77121 and 77140. After we will calculate the factors of 77121 and 77140 and find the biggest common factor number .
Step-1: Prime Factorization of 77121
Prime factors of 77121 are 3, 11, 19, 41. Prime factorization of 77121 in exponential form is:
77121 = 32 × 111 × 191 × 411
Step-2: Prime Factorization of 77140
Prime factors of 77140 are 2, 5, 7, 19, 29. Prime factorization of 77140 in exponential form is:
77140 = 22 × 51 × 71 × 191 × 291
Step-3: Factors of 77121
List of positive integer factors of 77121 that divides 77121 without a remainder.
1, 3, 9, 11, 19, 33, 41, 57, 99, 123, 171, 209, 369, 451, 627, 779, 1353, 1881, 2337, 4059, 7011, 8569, 25707
Step-4: Factors of 77140
List of positive integer factors of 77140 that divides 77121 without a remainder.
1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 29, 35, 38, 58, 70, 76, 95, 116, 133, 140, 145, 190, 203, 266, 290, 380, 406, 532, 551, 580, 665, 812, 1015, 1102, 1330, 2030, 2204, 2660, 2755, 3857, 4060, 5510, 7714, 11020, 15428, 19285, 38570
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77121 and 77140. The biggest common factor number is the GCF number.
So the greatest common factor 77121 and 77140 is 19.
Also check out the Least Common Multiple of 77121 and 77140
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