What is the Greatest Common Factor of 70065 and 70070?

Greatest common factor (GCF) of 70065 and 70070 is 5.

GCF(70065,70070) = 5

We will now calculate the prime factors of 70065 and 70070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70065 and 70070.

How to find the GCF of 70065 and 70070?

We will first find the prime factorization of 70065 and 70070. After we will calculate the factors of 70065 and 70070 and find the biggest common factor number .

Step-1: Prime Factorization of 70065

Prime factors of 70065 are 3, 5, 173. Prime factorization of 70065 in exponential form is:

70065 = 3⁴ × 5¹ × 173¹

Step-2: Prime Factorization of 70070

Prime factors of 70070 are 2, 5, 7, 11, 13. Prime factorization of 70070 in exponential form is:

70070 = 2¹ × 5¹ × 7² × 11¹ × 13¹

Step-3: Factors of 70065

List of positive integer factors of 70065 that divides 70065 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 173, 405, 519, 865, 1557, 2595, 4671, 7785, 14013, 23355

Step-4: Factors of 70070

List of positive integer factors of 70070 that divides 70065 without a remainder.

1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 49, 55, 65, 70, 77, 91, 98, 110, 130, 143, 154, 182, 245, 286, 385, 455, 490, 539, 637, 715, 770, 910, 1001, 1078, 1274, 1430, 2002, 2695, 3185, 5005, 5390, 6370, 7007, 10010, 14014, 35035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70065 and 70070. The biggest common factor number is the GCF number.
So the greatest common factor 70065 and 70070 is 5.

Also check out the Least Common Multiple of 70065 and 70070