What is the Greatest Common Factor of 87764 and 87770?

Greatest common factor (GCF) of 87764 and 87770 is 2.

GCF(87764,87770) = 2

We will now calculate the prime factors of 87764 and 87770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87764 and 87770.

How to find the GCF of 87764 and 87770?

We will first find the prime factorization of 87764 and 87770. After we will calculate the factors of 87764 and 87770 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87770

Prime factors of 87770 are 2, 5, 67, 131. Prime factorization of 87770 in exponential form is:

87770 = 2¹ × 5¹ × 67¹ × 131¹

Step-3: Factors of 87764

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

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

Step-4: Factors of 87770

List of positive integer factors of 87770 that divides 87764 without a remainder.

1, 2, 5, 10, 67, 131, 134, 262, 335, 655, 670, 1310, 8777, 17554, 43885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87764 and 87770. The biggest common factor number is the GCF number.
So the greatest common factor 87764 and 87770 is 2.

Also check out the Least Common Multiple of 87764 and 87770