What is the Greatest Common Factor of 87722 and 87741?

Greatest common factor (GCF) of 87722 and 87741 is 1.

GCF(87722,87741) = 1

We will now calculate the prime factors of 87722 and 87741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87722 and 87741.

How to find the GCF of 87722 and 87741?

We will first find the prime factorization of 87722 and 87741. After we will calculate the factors of 87722 and 87741 and find the biggest common factor number .

Step-1: Prime Factorization of 87722

Prime factors of 87722 are 2, 23, 1907. Prime factorization of 87722 in exponential form is:

87722 = 2¹ × 23¹ × 1907¹

Step-2: Prime Factorization of 87741

Prime factors of 87741 are 3, 9749. Prime factorization of 87741 in exponential form is:

87741 = 3² × 9749¹

Step-3: Factors of 87722

List of positive integer factors of 87722 that divides 87722 without a remainder.

1, 2, 23, 46, 1907, 3814, 43861

Step-4: Factors of 87741

List of positive integer factors of 87741 that divides 87722 without a remainder.

1, 3, 9, 9749, 29247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87722 and 87741. The biggest common factor number is the GCF number.
So the greatest common factor 87722 and 87741 is 1.

Also check out the Least Common Multiple of 87722 and 87741