What is the Greatest Common Factor of 87992 and 88001?

Greatest common factor (GCF) of 87992 and 88001 is 1.

GCF(87992,88001) = 1

We will now calculate the prime factors of 87992 and 88001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87992 and 88001.

How to find the GCF of 87992 and 88001?

We will first find the prime factorization of 87992 and 88001. After we will calculate the factors of 87992 and 88001 and find the biggest common factor number .

Step-1: Prime Factorization of 87992

Prime factors of 87992 are 2, 17, 647. Prime factorization of 87992 in exponential form is:

87992 = 2³ × 17¹ × 647¹

Step-2: Prime Factorization of 88001

Prime factors of 88001 are 88001. Prime factorization of 88001 in exponential form is:

88001 = 88001¹

Step-3: Factors of 87992

List of positive integer factors of 87992 that divides 87992 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 647, 1294, 2588, 5176, 10999, 21998, 43996

Step-4: Factors of 88001

List of positive integer factors of 88001 that divides 87992 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87992 and 88001. The biggest common factor number is the GCF number.
So the greatest common factor 87992 and 88001 is 1.

Also check out the Least Common Multiple of 87992 and 88001