What is the Greatest Common Factor of 77084 and 77088?

Greatest common factor (GCF) of 77084 and 77088 is 4.

GCF(77084,77088) = 4

We will now calculate the prime factors of 77084 and 77088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77084 and 77088.

How to find the GCF of 77084 and 77088?

We will first find the prime factorization of 77084 and 77088. After we will calculate the factors of 77084 and 77088 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77088

Prime factors of 77088 are 2, 3, 11, 73. Prime factorization of 77088 in exponential form is:

77088 = 2⁵ × 3¹ × 11¹ × 73¹

Step-3: Factors of 77084

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

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

Step-4: Factors of 77088

List of positive integer factors of 77088 that divides 77084 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 73, 88, 96, 132, 146, 176, 219, 264, 292, 352, 438, 528, 584, 803, 876, 1056, 1168, 1606, 1752, 2336, 2409, 3212, 3504, 4818, 6424, 7008, 9636, 12848, 19272, 25696, 38544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77084 and 77088. The biggest common factor number is the GCF number.
So the greatest common factor 77084 and 77088 is 4.

Also check out the Least Common Multiple of 77084 and 77088