What is the Greatest Common Factor of 77129 and 77140?

Greatest common factor (GCF) of 77129 and 77140 is 1.

GCF(77129,77140) = 1

We will now calculate the prime factors of 77129 and 77140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77129 and 77140.

How to find the GCF of 77129 and 77140?

We will first find the prime factorization of 77129 and 77140. After we will calculate the factors of 77129 and 77140 and find the biggest common factor number .

Step-1: Prime Factorization of 77129

Prime factors of 77129 are 13, 17, 349. Prime factorization of 77129 in exponential form is:

77129 = 13¹ × 17¹ × 349¹

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 77129

List of positive integer factors of 77129 that divides 77129 without a remainder.

1, 13, 17, 221, 349, 4537, 5933

Step-4: Factors of 77140

List of positive integer factors of 77140 that divides 77129 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 77129 and 77140. The biggest common factor number is the GCF number.
So the greatest common factor 77129 and 77140 is 1.

Also check out the Least Common Multiple of 77129 and 77140