What is the Greatest Common Factor of 77140 and 77151?

Greatest common factor (GCF) of 77140 and 77151 is 1.

GCF(77140,77151) = 1

We will now calculate the prime factors of 77140 and 77151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77140 and 77151.

How to find the GCF of 77140 and 77151?

We will first find the prime factorization of 77140 and 77151. After we will calculate the factors of 77140 and 77151 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 77151

Prime factors of 77151 are 3, 25717. Prime factorization of 77151 in exponential form is:

77151 = 3¹ × 25717¹

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 77151

List of positive integer factors of 77151 that divides 77140 without a remainder.

1, 3, 25717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77140 and 77151. The biggest common factor number is the GCF number.
So the greatest common factor 77140 and 77151 is 1.

Also check out the Least Common Multiple of 77140 and 77151