What is the Greatest Common Factor of 35014 and 35021?

Greatest common factor (GCF) of 35014 and 35021 is 7.

GCF(35014,35021) = 7

We will now calculate the prime factors of 35014 and 35021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35014 and 35021.

How to find the GCF of 35014 and 35021?

We will first find the prime factorization of 35014 and 35021. After we will calculate the factors of 35014 and 35021 and find the biggest common factor number .

Step-1: Prime Factorization of 35014

Prime factors of 35014 are 2, 7, 41, 61. Prime factorization of 35014 in exponential form is:

35014 = 2¹ × 7¹ × 41¹ × 61¹

Step-2: Prime Factorization of 35021

Prime factors of 35021 are 7, 5003. Prime factorization of 35021 in exponential form is:

35021 = 7¹ × 5003¹

Step-3: Factors of 35014

List of positive integer factors of 35014 that divides 35014 without a remainder.

1, 2, 7, 14, 41, 61, 82, 122, 287, 427, 574, 854, 2501, 5002, 17507

Step-4: Factors of 35021

List of positive integer factors of 35021 that divides 35014 without a remainder.

1, 7, 5003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35014 and 35021. The biggest common factor number is the GCF number.
So the greatest common factor 35014 and 35021 is 7.

Also check out the Least Common Multiple of 35014 and 35021