What is the Greatest Common Factor of 70658 and 70666?

Greatest common factor (GCF) of 70658 and 70666 is 2.

GCF(70658,70666) = 2

We will now calculate the prime factors of 70658 and 70666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70658 and 70666.

How to find the GCF of 70658 and 70666?

We will first find the prime factorization of 70658 and 70666. After we will calculate the factors of 70658 and 70666 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 70666

Prime factors of 70666 are 2, 89, 397. Prime factorization of 70666 in exponential form is:

70666 = 2¹ × 89¹ × 397¹

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 70666

List of positive integer factors of 70666 that divides 70658 without a remainder.

1, 2, 89, 178, 397, 794, 35333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70658 and 70666. The biggest common factor number is the GCF number.
So the greatest common factor 70658 and 70666 is 2.

Also check out the Least Common Multiple of 70658 and 70666