What is the Greatest Common Factor of 63091 and 63098?

Greatest common factor (GCF) of 63091 and 63098 is 7.

GCF(63091,63098) = 7

We will now calculate the prime factors of 63091 and 63098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63091 and 63098.

How to find the GCF of 63091 and 63098?

We will first find the prime factorization of 63091 and 63098. After we will calculate the factors of 63091 and 63098 and find the biggest common factor number .

Step-1: Prime Factorization of 63091

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

63091 = 7¹ × 9013¹

Step-2: Prime Factorization of 63098

Prime factors of 63098 are 2, 7, 4507. Prime factorization of 63098 in exponential form is:

63098 = 2¹ × 7¹ × 4507¹

Step-3: Factors of 63091

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

1, 7, 9013

Step-4: Factors of 63098

List of positive integer factors of 63098 that divides 63091 without a remainder.

1, 2, 7, 14, 4507, 9014, 31549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63091 and 63098. The biggest common factor number is the GCF number.
So the greatest common factor 63091 and 63098 is 7.

Also check out the Least Common Multiple of 63091 and 63098