What is the Greatest Common Factor of 63014 and 63028?

Greatest common factor (GCF) of 63014 and 63028 is 14.

GCF(63014,63028) = 14

We will now calculate the prime factors of 63014 and 63028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63014 and 63028.

How to find the GCF of 63014 and 63028?

We will first find the prime factorization of 63014 and 63028. After we will calculate the factors of 63014 and 63028 and find the biggest common factor number .

Step-1: Prime Factorization of 63014

Prime factors of 63014 are 2, 7, 643. Prime factorization of 63014 in exponential form is:

63014 = 2¹ × 7² × 643¹

Step-2: Prime Factorization of 63028

Prime factors of 63028 are 2, 7, 2251. Prime factorization of 63028 in exponential form is:

63028 = 2² × 7¹ × 2251¹

Step-3: Factors of 63014

List of positive integer factors of 63014 that divides 63014 without a remainder.

1, 2, 7, 14, 49, 98, 643, 1286, 4501, 9002, 31507

Step-4: Factors of 63028

List of positive integer factors of 63028 that divides 63014 without a remainder.

1, 2, 4, 7, 14, 28, 2251, 4502, 9004, 15757, 31514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63014 and 63028. The biggest common factor number is the GCF number.
So the greatest common factor 63014 and 63028 is 14.

Also check out the Least Common Multiple of 63014 and 63028