What is the Greatest Common Factor of 87910 and 87929?

Greatest common factor (GCF) of 87910 and 87929 is 1.

GCF(87910,87929) = 1

We will now calculate the prime factors of 87910 and 87929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87910 and 87929.

How to find the GCF of 87910 and 87929?

We will first find the prime factorization of 87910 and 87929. After we will calculate the factors of 87910 and 87929 and find the biggest common factor number .

Step-1: Prime Factorization of 87910

Prime factors of 87910 are 2, 5, 59, 149. Prime factorization of 87910 in exponential form is:

87910 = 2¹ × 5¹ × 59¹ × 149¹

Step-2: Prime Factorization of 87929

Prime factors of 87929 are 23, 3823. Prime factorization of 87929 in exponential form is:

87929 = 23¹ × 3823¹

Step-3: Factors of 87910

List of positive integer factors of 87910 that divides 87910 without a remainder.

1, 2, 5, 10, 59, 118, 149, 295, 298, 590, 745, 1490, 8791, 17582, 43955

Step-4: Factors of 87929

List of positive integer factors of 87929 that divides 87910 without a remainder.

1, 23, 3823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87910 and 87929. The biggest common factor number is the GCF number.
So the greatest common factor 87910 and 87929 is 1.

Also check out the Least Common Multiple of 87910 and 87929