What is the Greatest Common Factor of 87774 and 87782?

Greatest common factor (GCF) of 87774 and 87782 is 2.

GCF(87774,87782) = 2

We will now calculate the prime factors of 87774 and 87782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87774 and 87782.

How to find the GCF of 87774 and 87782?

We will first find the prime factorization of 87774 and 87782. After we will calculate the factors of 87774 and 87782 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87782

Prime factors of 87782 are 2, 43891. Prime factorization of 87782 in exponential form is:

87782 = 2¹ × 43891¹

Step-3: Factors of 87774

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

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

Step-4: Factors of 87782

List of positive integer factors of 87782 that divides 87774 without a remainder.

1, 2, 43891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87774 and 87782. The biggest common factor number is the GCF number.
So the greatest common factor 87774 and 87782 is 2.

Also check out the Least Common Multiple of 87774 and 87782