What is the Greatest Common Factor of 79871 and 79888?

Greatest common factor (GCF) of 79871 and 79888 is 1.

GCF(79871,79888) = 1

We will now calculate the prime factors of 79871 and 79888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79871 and 79888.

How to find the GCF of 79871 and 79888?

We will first find the prime factorization of 79871 and 79888. After we will calculate the factors of 79871 and 79888 and find the biggest common factor number .

Step-1: Prime Factorization of 79871

Prime factors of 79871 are 11, 53, 137. Prime factorization of 79871 in exponential form is:

79871 = 11¹ × 53¹ × 137¹

Step-2: Prime Factorization of 79888

Prime factors of 79888 are 2, 4993. Prime factorization of 79888 in exponential form is:

79888 = 2⁴ × 4993¹

Step-3: Factors of 79871

List of positive integer factors of 79871 that divides 79871 without a remainder.

1, 11, 53, 137, 583, 1507, 7261

Step-4: Factors of 79888

List of positive integer factors of 79888 that divides 79871 without a remainder.

1, 2, 4, 8, 16, 4993, 9986, 19972, 39944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79871 and 79888. The biggest common factor number is the GCF number.
So the greatest common factor 79871 and 79888 is 1.

Also check out the Least Common Multiple of 79871 and 79888