What is the Greatest Common Factor of 77070 and 77084?

Greatest common factor (GCF) of 77070 and 77084 is 14.

GCF(77070,77084) = 14

We will now calculate the prime factors of 77070 and 77084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77070 and 77084.

How to find the GCF of 77070 and 77084?

We will first find the prime factorization of 77070 and 77084. After we will calculate the factors of 77070 and 77084 and find the biggest common factor number .

Step-1: Prime Factorization of 77070

Prime factors of 77070 are 2, 3, 5, 7, 367. Prime factorization of 77070 in exponential form is:

77070 = 2¹ × 3¹ × 5¹ × 7¹ × 367¹

Step-2: Prime Factorization of 77084

Prime factors of 77084 are 2, 7, 2753. Prime factorization of 77084 in exponential form is:

77084 = 2² × 7¹ × 2753¹

Step-3: Factors of 77070

List of positive integer factors of 77070 that divides 77070 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 367, 734, 1101, 1835, 2202, 2569, 3670, 5138, 5505, 7707, 11010, 12845, 15414, 25690, 38535

Step-4: Factors of 77084

List of positive integer factors of 77084 that divides 77070 without a remainder.

1, 2, 4, 7, 14, 28, 2753, 5506, 11012, 19271, 38542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77070 and 77084. The biggest common factor number is the GCF number.
So the greatest common factor 77070 and 77084 is 14.

Also check out the Least Common Multiple of 77070 and 77084