What is the Greatest Common Factor of 77110 and 77117?

Greatest common factor (GCF) of 77110 and 77117 is 1.

GCF(77110,77117) = 1

We will now calculate the prime factors of 77110 and 77117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77110 and 77117.

How to find the GCF of 77110 and 77117?

We will first find the prime factorization of 77110 and 77117. After we will calculate the factors of 77110 and 77117 and find the biggest common factor number .

Step-1: Prime Factorization of 77110

Prime factors of 77110 are 2, 5, 11, 701. Prime factorization of 77110 in exponential form is:

77110 = 2¹ × 5¹ × 11¹ × 701¹

Step-2: Prime Factorization of 77117

Prime factors of 77117 are 67, 1151. Prime factorization of 77117 in exponential form is:

77117 = 67¹ × 1151¹

Step-3: Factors of 77110

List of positive integer factors of 77110 that divides 77110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 701, 1402, 3505, 7010, 7711, 15422, 38555

Step-4: Factors of 77117

List of positive integer factors of 77117 that divides 77110 without a remainder.

1, 67, 1151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77110 and 77117. The biggest common factor number is the GCF number.
So the greatest common factor 77110 and 77117 is 1.

Also check out the Least Common Multiple of 77110 and 77117