What is the Greatest Common Factor of 70658 and 70676?

Greatest common factor (GCF) of 70658 and 70676 is 2.

GCF(70658,70676) = 2

We will now calculate the prime factors of 70658 and 70676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70658 and 70676.

How to find the GCF of 70658 and 70676?

We will first find the prime factorization of 70658 and 70676. After we will calculate the factors of 70658 and 70676 and find the biggest common factor number .

Step-1: Prime Factorization of 70658

Prime factors of 70658 are 2, 7, 103. Prime factorization of 70658 in exponential form is:

70658 = 2¹ × 7³ × 103¹

Step-2: Prime Factorization of 70676

Prime factors of 70676 are 2, 17669. Prime factorization of 70676 in exponential form is:

70676 = 2² × 17669¹

Step-3: Factors of 70658

List of positive integer factors of 70658 that divides 70658 without a remainder.

1, 2, 7, 14, 49, 98, 103, 206, 343, 686, 721, 1442, 5047, 10094, 35329

Step-4: Factors of 70676

List of positive integer factors of 70676 that divides 70658 without a remainder.

1, 2, 4, 17669, 35338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70658 and 70676. The biggest common factor number is the GCF number.
So the greatest common factor 70658 and 70676 is 2.

Also check out the Least Common Multiple of 70658 and 70676