What is the Greatest Common Factor of 77070 and 77088?

Greatest common factor (GCF) of 77070 and 77088 is 6.

GCF(77070,77088) = 6

We will now calculate the prime factors of 77070 and 77088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77070 and 77088.

How to find the GCF of 77070 and 77088?

We will first find the prime factorization of 77070 and 77088. After we will calculate the factors of 77070 and 77088 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 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 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 77088

List of positive integer factors of 77088 that divides 77070 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 77070 and 77088. The biggest common factor number is the GCF number.
So the greatest common factor 77070 and 77088 is 6.

Also check out the Least Common Multiple of 77070 and 77088