What is the Greatest Common Factor of 63084 and 63091?

Greatest common factor (GCF) of 63084 and 63091 is 7.

GCF(63084,63091) = 7

We will now calculate the prime factors of 63084 and 63091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63084 and 63091.

How to find the GCF of 63084 and 63091?

We will first find the prime factorization of 63084 and 63091. After we will calculate the factors of 63084 and 63091 and find the biggest common factor number .

Step-1: Prime Factorization of 63084

Prime factors of 63084 are 2, 3, 7, 751. Prime factorization of 63084 in exponential form is:

63084 = 2² × 3¹ × 7¹ × 751¹

Step-2: Prime Factorization of 63091

Prime factors of 63091 are 7, 9013. Prime factorization of 63091 in exponential form is:

63091 = 7¹ × 9013¹

Step-3: Factors of 63084

List of positive integer factors of 63084 that divides 63084 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 751, 1502, 2253, 3004, 4506, 5257, 9012, 10514, 15771, 21028, 31542

Step-4: Factors of 63091

List of positive integer factors of 63091 that divides 63084 without a remainder.

1, 7, 9013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63084 and 63091. The biggest common factor number is the GCF number.
So the greatest common factor 63084 and 63091 is 7.

Also check out the Least Common Multiple of 63084 and 63091