What is the Greatest Common Factor of 87755 and 87774?

Greatest common factor (GCF) of 87755 and 87774 is 1.

GCF(87755,87774) = 1

We will now calculate the prime factors of 87755 and 87774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87755 and 87774.

How to find the GCF of 87755 and 87774?

We will first find the prime factorization of 87755 and 87774. After we will calculate the factors of 87755 and 87774 and find the biggest common factor number .

Step-1: Prime Factorization of 87755

Prime factors of 87755 are 5, 17551. Prime factorization of 87755 in exponential form is:

87755 = 5¹ × 17551¹

Step-2: Prime Factorization of 87774

Prime factors of 87774 are 2, 3, 14629. Prime factorization of 87774 in exponential form is:

87774 = 2¹ × 3¹ × 14629¹

Step-3: Factors of 87755

List of positive integer factors of 87755 that divides 87755 without a remainder.

1, 5, 17551

Step-4: Factors of 87774

List of positive integer factors of 87774 that divides 87755 without a remainder.

1, 2, 3, 6, 14629, 29258, 43887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87755 and 87774. The biggest common factor number is the GCF number.
So the greatest common factor 87755 and 87774 is 1.

Also check out the Least Common Multiple of 87755 and 87774