What is the Greatest Common Factor of 70029 and 70035?

Greatest common factor (GCF) of 70029 and 70035 is 3.

GCF(70029,70035) = 3

We will now calculate the prime factors of 70029 and 70035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70029 and 70035.

How to find the GCF of 70029 and 70035?

We will first find the prime factorization of 70029 and 70035. After we will calculate the factors of 70029 and 70035 and find the biggest common factor number .

Step-1: Prime Factorization of 70029

Prime factors of 70029 are 3, 31, 251. Prime factorization of 70029 in exponential form is:

70029 = 3² × 31¹ × 251¹

Step-2: Prime Factorization of 70035

Prime factors of 70035 are 3, 5, 7, 23, 29. Prime factorization of 70035 in exponential form is:

70035 = 3¹ × 5¹ × 7¹ × 23¹ × 29¹

Step-3: Factors of 70029

List of positive integer factors of 70029 that divides 70029 without a remainder.

1, 3, 9, 31, 93, 251, 279, 753, 2259, 7781, 23343

Step-4: Factors of 70035

List of positive integer factors of 70035 that divides 70029 without a remainder.

1, 3, 5, 7, 15, 21, 23, 29, 35, 69, 87, 105, 115, 145, 161, 203, 345, 435, 483, 609, 667, 805, 1015, 2001, 2415, 3045, 3335, 4669, 10005, 14007, 23345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70029 and 70035. The biggest common factor number is the GCF number.
So the greatest common factor 70029 and 70035 is 3.

Also check out the Least Common Multiple of 70029 and 70035