What is the Greatest Common Factor of 87758 and 87764?

Greatest common factor (GCF) of 87758 and 87764 is 2.

GCF(87758,87764) = 2

We will now calculate the prime factors of 87758 and 87764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87758 and 87764.

How to find the GCF of 87758 and 87764?

We will first find the prime factorization of 87758 and 87764. After we will calculate the factors of 87758 and 87764 and find the biggest common factor number .

Step-1: Prime Factorization of 87758

Prime factors of 87758 are 2, 11, 3989. Prime factorization of 87758 in exponential form is:

87758 = 2¹ × 11¹ × 3989¹

Step-2: Prime Factorization of 87764

Prime factors of 87764 are 2, 37, 593. Prime factorization of 87764 in exponential form is:

87764 = 2² × 37¹ × 593¹

Step-3: Factors of 87758

List of positive integer factors of 87758 that divides 87758 without a remainder.

1, 2, 11, 22, 3989, 7978, 43879

Step-4: Factors of 87764

List of positive integer factors of 87764 that divides 87758 without a remainder.

1, 2, 4, 37, 74, 148, 593, 1186, 2372, 21941, 43882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87758 and 87764. The biggest common factor number is the GCF number.
So the greatest common factor 87758 and 87764 is 2.

Also check out the Least Common Multiple of 87758 and 87764