What is the Greatest Common Factor of 63048 and 63058?

Greatest common factor (GCF) of 63048 and 63058 is 2.

GCF(63048,63058) = 2

We will now calculate the prime factors of 63048 and 63058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63048 and 63058.

How to find the GCF of 63048 and 63058?

We will first find the prime factorization of 63048 and 63058. After we will calculate the factors of 63048 and 63058 and find the biggest common factor number .

Step-1: Prime Factorization of 63048

Prime factors of 63048 are 2, 3, 37, 71. Prime factorization of 63048 in exponential form is:

63048 = 2³ × 3¹ × 37¹ × 71¹

Step-2: Prime Factorization of 63058

Prime factors of 63058 are 2, 41, 769. Prime factorization of 63058 in exponential form is:

63058 = 2¹ × 41¹ × 769¹

Step-3: Factors of 63048

List of positive integer factors of 63048 that divides 63048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 71, 74, 111, 142, 148, 213, 222, 284, 296, 426, 444, 568, 852, 888, 1704, 2627, 5254, 7881, 10508, 15762, 21016, 31524

Step-4: Factors of 63058

List of positive integer factors of 63058 that divides 63048 without a remainder.

1, 2, 41, 82, 769, 1538, 31529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63048 and 63058. The biggest common factor number is the GCF number.
So the greatest common factor 63048 and 63058 is 2.

Also check out the Least Common Multiple of 63048 and 63058