What is the Greatest Common Factor of 70988 and 71007?

Greatest common factor (GCF) of 70988 and 71007 is 1.

GCF(70988,71007) = 1

We will now calculate the prime factors of 70988 and 71007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70988 and 71007.

How to find the GCF of 70988 and 71007?

We will first find the prime factorization of 70988 and 71007. After we will calculate the factors of 70988 and 71007 and find the biggest common factor number .

Step-1: Prime Factorization of 70988

Prime factors of 70988 are 2, 17747. Prime factorization of 70988 in exponential form is:

70988 = 2² × 17747¹

Step-2: Prime Factorization of 71007

Prime factors of 71007 are 3, 23669. Prime factorization of 71007 in exponential form is:

71007 = 3¹ × 23669¹

Step-3: Factors of 70988

List of positive integer factors of 70988 that divides 70988 without a remainder.

1, 2, 4, 17747, 35494

Step-4: Factors of 71007

List of positive integer factors of 71007 that divides 70988 without a remainder.

1, 3, 23669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70988 and 71007. The biggest common factor number is the GCF number.
So the greatest common factor 70988 and 71007 is 1.

Also check out the Least Common Multiple of 70988 and 71007