What is the Greatest Common Factor of 63448 and 63458?

Greatest common factor (GCF) of 63448 and 63458 is 2.

GCF(63448,63458) = 2

We will now calculate the prime factors of 63448 and 63458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63448 and 63458.

How to find the GCF of 63448 and 63458?

We will first find the prime factorization of 63448 and 63458. After we will calculate the factors of 63448 and 63458 and find the biggest common factor number .

Step-1: Prime Factorization of 63448

Prime factors of 63448 are 2, 7, 11, 103. Prime factorization of 63448 in exponential form is:

63448 = 2³ × 7¹ × 11¹ × 103¹

Step-2: Prime Factorization of 63458

Prime factors of 63458 are 2, 31729. Prime factorization of 63458 in exponential form is:

63458 = 2¹ × 31729¹

Step-3: Factors of 63448

List of positive integer factors of 63448 that divides 63448 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 103, 154, 206, 308, 412, 616, 721, 824, 1133, 1442, 2266, 2884, 4532, 5768, 7931, 9064, 15862, 31724

Step-4: Factors of 63458

List of positive integer factors of 63458 that divides 63448 without a remainder.

1, 2, 31729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63448 and 63458. The biggest common factor number is the GCF number.
So the greatest common factor 63448 and 63458 is 2.

Also check out the Least Common Multiple of 63448 and 63458