What is the Greatest Common Factor of 77770 and 77774?

Greatest common factor (GCF) of 77770 and 77774 is 2.

GCF(77770,77774) = 2

We will now calculate the prime factors of 77770 and 77774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77770 and 77774.

How to find the GCF of 77770 and 77774?

We will first find the prime factorization of 77770 and 77774. After we will calculate the factors of 77770 and 77774 and find the biggest common factor number .

Step-1: Prime Factorization of 77770

Prime factors of 77770 are 2, 5, 7, 11, 101. Prime factorization of 77770 in exponential form is:

77770 = 2¹ × 5¹ × 7¹ × 11¹ × 101¹

Step-2: Prime Factorization of 77774

Prime factors of 77774 are 2, 37, 1051. Prime factorization of 77774 in exponential form is:

77774 = 2¹ × 37¹ × 1051¹

Step-3: Factors of 77770

List of positive integer factors of 77770 that divides 77770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 101, 110, 154, 202, 385, 505, 707, 770, 1010, 1111, 1414, 2222, 3535, 5555, 7070, 7777, 11110, 15554, 38885

Step-4: Factors of 77774

List of positive integer factors of 77774 that divides 77770 without a remainder.

1, 2, 37, 74, 1051, 2102, 38887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77770 and 77774. The biggest common factor number is the GCF number.
So the greatest common factor 77770 and 77774 is 2.

Also check out the Least Common Multiple of 77770 and 77774