What is the Greatest Common Factor of 70014 and 70029?

Greatest common factor (GCF) of 70014 and 70029 is 3.

GCF(70014,70029) = 3

We will now calculate the prime factors of 70014 and 70029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70014 and 70029.

How to find the GCF of 70014 and 70029?

We will first find the prime factorization of 70014 and 70029. After we will calculate the factors of 70014 and 70029 and find the biggest common factor number .

Step-1: Prime Factorization of 70014

Prime factors of 70014 are 2, 3, 7, 1667. Prime factorization of 70014 in exponential form is:

70014 = 2¹ × 3¹ × 7¹ × 1667¹

Step-2: 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-3: Factors of 70014

List of positive integer factors of 70014 that divides 70014 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1667, 3334, 5001, 10002, 11669, 23338, 35007

Step-4: Factors of 70029

List of positive integer factors of 70029 that divides 70014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70014 and 70029. The biggest common factor number is the GCF number.
So the greatest common factor 70014 and 70029 is 3.

Also check out the Least Common Multiple of 70014 and 70029