What is the Greatest Common Factor of 77756 and 77770?

Greatest common factor (GCF) of 77756 and 77770 is 14.

GCF(77756,77770) = 14

We will now calculate the prime factors of 77756 and 77770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77756 and 77770.

How to find the GCF of 77756 and 77770?

We will first find the prime factorization of 77756 and 77770. After we will calculate the factors of 77756 and 77770 and find the biggest common factor number .

Step-1: Prime Factorization of 77756

Prime factors of 77756 are 2, 7, 2777. Prime factorization of 77756 in exponential form is:

77756 = 2² × 7¹ × 2777¹

Step-2: 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-3: Factors of 77756

List of positive integer factors of 77756 that divides 77756 without a remainder.

1, 2, 4, 7, 14, 28, 2777, 5554, 11108, 19439, 38878

Step-4: Factors of 77770

List of positive integer factors of 77770 that divides 77756 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77756 and 77770. The biggest common factor number is the GCF number.
So the greatest common factor 77756 and 77770 is 14.

Also check out the Least Common Multiple of 77756 and 77770