What is the Greatest Common Factor of 70090 and 70107?

Greatest common factor (GCF) of 70090 and 70107 is 1.

GCF(70090,70107) = 1

We will now calculate the prime factors of 70090 and 70107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70090 and 70107.

How to find the GCF of 70090 and 70107?

We will first find the prime factorization of 70090 and 70107. After we will calculate the factors of 70090 and 70107 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 70107

Prime factors of 70107 are 3, 23369. Prime factorization of 70107 in exponential form is:

70107 = 3¹ × 23369¹

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 70107

List of positive integer factors of 70107 that divides 70090 without a remainder.

1, 3, 23369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70090 and 70107. The biggest common factor number is the GCF number.
So the greatest common factor 70090 and 70107 is 1.

Also check out the Least Common Multiple of 70090 and 70107