What is the Greatest Common Factor of 70988 and 71006?

Greatest common factor (GCF) of 70988 and 71006 is 2.

GCF(70988,71006) = 2

We will now calculate the prime factors of 70988 and 71006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70988 and 71006.

How to find the GCF of 70988 and 71006?

We will first find the prime factorization of 70988 and 71006. After we will calculate the factors of 70988 and 71006 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 71006

Prime factors of 71006 are 2, 13, 2731. Prime factorization of 71006 in exponential form is:

71006 = 2¹ × 13¹ × 2731¹

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 71006

List of positive integer factors of 71006 that divides 70988 without a remainder.

1, 2, 13, 26, 2731, 5462, 35503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70988 and 71006. The biggest common factor number is the GCF number.
So the greatest common factor 70988 and 71006 is 2.

Also check out the Least Common Multiple of 70988 and 71006