What is the Greatest Common Factor of 87772 and 87779?

Greatest common factor (GCF) of 87772 and 87779 is 1.

GCF(87772,87779) = 1

We will now calculate the prime factors of 87772 and 87779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87772 and 87779.

How to find the GCF of 87772 and 87779?

We will first find the prime factorization of 87772 and 87779. After we will calculate the factors of 87772 and 87779 and find the biggest common factor number .

Step-1: Prime Factorization of 87772

Prime factors of 87772 are 2, 21943. Prime factorization of 87772 in exponential form is:

87772 = 2² × 21943¹

Step-2: Prime Factorization of 87779

Prime factors of 87779 are 61, 1439. Prime factorization of 87779 in exponential form is:

87779 = 61¹ × 1439¹

Step-3: Factors of 87772

List of positive integer factors of 87772 that divides 87772 without a remainder.

1, 2, 4, 21943, 43886

Step-4: Factors of 87779

List of positive integer factors of 87779 that divides 87772 without a remainder.

1, 61, 1439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87772 and 87779. The biggest common factor number is the GCF number.
So the greatest common factor 87772 and 87779 is 1.

Also check out the Least Common Multiple of 87772 and 87779