What is the Greatest Common Factor of 77750 and 77770?

Greatest common factor (GCF) of 77750 and 77770 is 10.

GCF(77750,77770) = 10

We will now calculate the prime factors of 77750 and 77770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77750 and 77770.

How to find the GCF of 77750 and 77770?

We will first find the prime factorization of 77750 and 77770. After we will calculate the factors of 77750 and 77770 and find the biggest common factor number .

Step-1: Prime Factorization of 77750

Prime factors of 77750 are 2, 5, 311. Prime factorization of 77750 in exponential form is:

77750 = 2¹ × 5³ × 311¹

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 77750

List of positive integer factors of 77750 that divides 77750 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 311, 622, 1555, 3110, 7775, 15550, 38875

Step-4: Factors of 77770

List of positive integer factors of 77770 that divides 77750 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 77750 and 77770. The biggest common factor number is the GCF number.
So the greatest common factor 77750 and 77770 is 10.

Also check out the Least Common Multiple of 77750 and 77770