What is the Greatest Common Factor of 70710 and 70730?

Greatest common factor (GCF) of 70710 and 70730 is 10.

GCF(70710,70730) = 10

We will now calculate the prime factors of 70710 and 70730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70710 and 70730.

How to find the GCF of 70710 and 70730?

We will first find the prime factorization of 70710 and 70730. After we will calculate the factors of 70710 and 70730 and find the biggest common factor number .

Step-1: Prime Factorization of 70710

Prime factors of 70710 are 2, 3, 5, 2357. Prime factorization of 70710 in exponential form is:

70710 = 2¹ × 3¹ × 5¹ × 2357¹

Step-2: Prime Factorization of 70730

Prime factors of 70730 are 2, 5, 11, 643. Prime factorization of 70730 in exponential form is:

70730 = 2¹ × 5¹ × 11¹ × 643¹

Step-3: Factors of 70710

List of positive integer factors of 70710 that divides 70710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2357, 4714, 7071, 11785, 14142, 23570, 35355

Step-4: Factors of 70730

List of positive integer factors of 70730 that divides 70710 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 643, 1286, 3215, 6430, 7073, 14146, 35365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70710 and 70730. The biggest common factor number is the GCF number.
So the greatest common factor 70710 and 70730 is 10.

Also check out the Least Common Multiple of 70710 and 70730