What is the Greatest Common Factor of 77130 and 77140?

Greatest common factor (GCF) of 77130 and 77140 is 10.

GCF(77130,77140) = 10

We will now calculate the prime factors of 77130 and 77140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77130 and 77140.

How to find the GCF of 77130 and 77140?

We will first find the prime factorization of 77130 and 77140. After we will calculate the factors of 77130 and 77140 and find the biggest common factor number .

Step-1: Prime Factorization of 77130

Prime factors of 77130 are 2, 3, 5, 857. Prime factorization of 77130 in exponential form is:

77130 = 2¹ × 3² × 5¹ × 857¹

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 77130

List of positive integer factors of 77130 that divides 77130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 857, 1714, 2571, 4285, 5142, 7713, 8570, 12855, 15426, 25710, 38565

Step-4: Factors of 77140

List of positive integer factors of 77140 that divides 77130 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 77130 and 77140. The biggest common factor number is the GCF number.
So the greatest common factor 77130 and 77140 is 10.

Also check out the Least Common Multiple of 77130 and 77140