What is the Greatest Common Factor of 77140 and 77157?

Greatest common factor (GCF) of 77140 and 77157 is 1.

GCF(77140,77157) = 1

We will now calculate the prime factors of 77140 and 77157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77140 and 77157.

How to find the GCF of 77140 and 77157?

We will first find the prime factorization of 77140 and 77157. After we will calculate the factors of 77140 and 77157 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 77157

Prime factors of 77157 are 3, 8573. Prime factorization of 77157 in exponential form is:

77157 = 3² × 8573¹

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 77157

List of positive integer factors of 77157 that divides 77140 without a remainder.

1, 3, 9, 8573, 25719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77140 and 77157. The biggest common factor number is the GCF number.
So the greatest common factor 77140 and 77157 is 1.

Also check out the Least Common Multiple of 77140 and 77157