What is the Greatest Common Factor of 70014 and 70021?

Greatest common factor (GCF) of 70014 and 70021 is 7.

GCF(70014,70021) = 7

We will now calculate the prime factors of 70014 and 70021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70014 and 70021.

How to find the GCF of 70014 and 70021?

We will first find the prime factorization of 70014 and 70021. After we will calculate the factors of 70014 and 70021 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 70021

Prime factors of 70021 are 7, 1429. Prime factorization of 70021 in exponential form is:

70021 = 7² × 1429¹

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 70021

List of positive integer factors of 70021 that divides 70014 without a remainder.

1, 7, 49, 1429, 10003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70014 and 70021. The biggest common factor number is the GCF number.
So the greatest common factor 70014 and 70021 is 7.

Also check out the Least Common Multiple of 70014 and 70021