What is the Greatest Common Factor of 77140 and 77160?

Greatest common factor (GCF) of 77140 and 77160 is 20.

GCF(77140,77160) = 20

We will now calculate the prime factors of 77140 and 77160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77140 and 77160.

How to find the GCF of 77140 and 77160?

We will first find the prime factorization of 77140 and 77160. After we will calculate the factors of 77140 and 77160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77160

Prime factors of 77160 are 2, 3, 5, 643. Prime factorization of 77160 in exponential form is:

77160 = 2³ × 3¹ × 5¹ × 643¹

Step-3: Factors of 77140

List of positive integer factors of 77140 that divides 77140 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

Step-4: Factors of 77160

List of positive integer factors of 77160 that divides 77140 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 643, 1286, 1929, 2572, 3215, 3858, 5144, 6430, 7716, 9645, 12860, 15432, 19290, 25720, 38580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77140 and 77160. The biggest common factor number is the GCF number.
So the greatest common factor 77140 and 77160 is 20.

Also check out the Least Common Multiple of 77140 and 77160