What is the Greatest Common Factor of 70066 and 70084?

Greatest common factor (GCF) of 70066 and 70084 is 2.

GCF(70066,70084) = 2

We will now calculate the prime factors of 70066 and 70084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70066 and 70084.

How to find the GCF of 70066 and 70084?

We will first find the prime factorization of 70066 and 70084. After we will calculate the factors of 70066 and 70084 and find the biggest common factor number .

Step-1: Prime Factorization of 70066

Prime factors of 70066 are 2, 53, 661. Prime factorization of 70066 in exponential form is:

70066 = 2¹ × 53¹ × 661¹

Step-2: Prime Factorization of 70084

Prime factors of 70084 are 2, 7, 2503. Prime factorization of 70084 in exponential form is:

70084 = 2² × 7¹ × 2503¹

Step-3: Factors of 70066

List of positive integer factors of 70066 that divides 70066 without a remainder.

1, 2, 53, 106, 661, 1322, 35033

Step-4: Factors of 70084

List of positive integer factors of 70084 that divides 70066 without a remainder.

1, 2, 4, 7, 14, 28, 2503, 5006, 10012, 17521, 35042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70066 and 70084. The biggest common factor number is the GCF number.
So the greatest common factor 70066 and 70084 is 2.

Also check out the Least Common Multiple of 70066 and 70084