What is the Greatest Common Factor of 87910 and 87926?

Greatest common factor (GCF) of 87910 and 87926 is 2.

GCF(87910,87926) = 2

We will now calculate the prime factors of 87910 and 87926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87910 and 87926.

How to find the GCF of 87910 and 87926?

We will first find the prime factorization of 87910 and 87926. After we will calculate the factors of 87910 and 87926 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 87926

Prime factors of 87926 are 2, 43963. Prime factorization of 87926 in exponential form is:

87926 = 2¹ × 43963¹

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 87926

List of positive integer factors of 87926 that divides 87910 without a remainder.

1, 2, 43963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87910 and 87926. The biggest common factor number is the GCF number.
So the greatest common factor 87910 and 87926 is 2.

Also check out the Least Common Multiple of 87910 and 87926