What is the Greatest Common Factor of 70090 and 70095?

Greatest common factor (GCF) of 70090 and 70095 is 5.

GCF(70090,70095) = 5

We will now calculate the prime factors of 70090 and 70095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70090 and 70095.

How to find the GCF of 70090 and 70095?

We will first find the prime factorization of 70090 and 70095. After we will calculate the factors of 70090 and 70095 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70095

Prime factors of 70095 are 3, 5, 4673. Prime factorization of 70095 in exponential form is:

70095 = 3¹ × 5¹ × 4673¹

Step-3: Factors of 70090

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

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

Step-4: Factors of 70095

List of positive integer factors of 70095 that divides 70090 without a remainder.

1, 3, 5, 15, 4673, 14019, 23365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70090 and 70095. The biggest common factor number is the GCF number.
So the greatest common factor 70090 and 70095 is 5.

Also check out the Least Common Multiple of 70090 and 70095