What is the Greatest Common Factor of 63098 and 63112?

Greatest common factor (GCF) of 63098 and 63112 is 14.

GCF(63098,63112) = 14

We will now calculate the prime factors of 63098 and 63112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63098 and 63112.

How to find the GCF of 63098 and 63112?

We will first find the prime factorization of 63098 and 63112. After we will calculate the factors of 63098 and 63112 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63112

Prime factors of 63112 are 2, 7, 23. Prime factorization of 63112 in exponential form is:

63112 = 2³ × 7³ × 23¹

Step-3: Factors of 63098

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

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

Step-4: Factors of 63112

List of positive integer factors of 63112 that divides 63098 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 343, 392, 644, 686, 1127, 1288, 1372, 2254, 2744, 4508, 7889, 9016, 15778, 31556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63098 and 63112. The biggest common factor number is the GCF number.
So the greatest common factor 63098 and 63112 is 14.

Also check out the Least Common Multiple of 63098 and 63112