What is the Greatest Common Factor of 70078 and 70090?

Greatest common factor (GCF) of 70078 and 70090 is 2.

GCF(70078,70090) = 2

We will now calculate the prime factors of 70078 and 70090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70078 and 70090.

How to find the GCF of 70078 and 70090?

We will first find the prime factorization of 70078 and 70090. After we will calculate the factors of 70078 and 70090 and find the biggest common factor number .

Step-1: Prime Factorization of 70078

Prime factors of 70078 are 2, 37, 947. Prime factorization of 70078 in exponential form is:

70078 = 2¹ × 37¹ × 947¹

Step-2: Prime Factorization of 70090

Prime factors of 70090 are 2, 5, 43, 163. Prime factorization of 70090 in exponential form is:

70090 = 2¹ × 5¹ × 43¹ × 163¹

Step-3: Factors of 70078

List of positive integer factors of 70078 that divides 70078 without a remainder.

1, 2, 37, 74, 947, 1894, 35039

Step-4: Factors of 70090

List of positive integer factors of 70090 that divides 70078 without a remainder.

1, 2, 5, 10, 43, 86, 163, 215, 326, 430, 815, 1630, 7009, 14018, 35045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70078 and 70090. The biggest common factor number is the GCF number.
So the greatest common factor 70078 and 70090 is 2.

Also check out the Least Common Multiple of 70078 and 70090