What is the Greatest Common Factor of 70698 and 70708?

Greatest common factor (GCF) of 70698 and 70708 is 2.

GCF(70698,70708) = 2

We will now calculate the prime factors of 70698 and 70708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70698 and 70708.

How to find the GCF of 70698 and 70708?

We will first find the prime factorization of 70698 and 70708. After we will calculate the factors of 70698 and 70708 and find the biggest common factor number .

Step-1: Prime Factorization of 70698

Prime factors of 70698 are 2, 3, 11783. Prime factorization of 70698 in exponential form is:

70698 = 2¹ × 3¹ × 11783¹

Step-2: Prime Factorization of 70708

Prime factors of 70708 are 2, 11, 1607. Prime factorization of 70708 in exponential form is:

70708 = 2² × 11¹ × 1607¹

Step-3: Factors of 70698

List of positive integer factors of 70698 that divides 70698 without a remainder.

1, 2, 3, 6, 11783, 23566, 35349

Step-4: Factors of 70708

List of positive integer factors of 70708 that divides 70698 without a remainder.

1, 2, 4, 11, 22, 44, 1607, 3214, 6428, 17677, 35354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70698 and 70708. The biggest common factor number is the GCF number.
So the greatest common factor 70698 and 70708 is 2.

Also check out the Least Common Multiple of 70698 and 70708