What is the Greatest Common Factor of 77088 and 77106?

Greatest common factor (GCF) of 77088 and 77106 is 6.

GCF(77088,77106) = 6

We will now calculate the prime factors of 77088 and 77106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77088 and 77106.

How to find the GCF of 77088 and 77106?

We will first find the prime factorization of 77088 and 77106. After we will calculate the factors of 77088 and 77106 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77106

Prime factors of 77106 are 2, 3, 71, 181. Prime factorization of 77106 in exponential form is:

77106 = 2¹ × 3¹ × 71¹ × 181¹

Step-3: Factors of 77088

List of positive integer factors of 77088 that divides 77088 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

Step-4: Factors of 77106

List of positive integer factors of 77106 that divides 77088 without a remainder.

1, 2, 3, 6, 71, 142, 181, 213, 362, 426, 543, 1086, 12851, 25702, 38553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77088 and 77106. The biggest common factor number is the GCF number.
So the greatest common factor 77088 and 77106 is 6.

Also check out the Least Common Multiple of 77088 and 77106