What is the Greatest Common Factor of 63428 and 63448?

Greatest common factor (GCF) of 63428 and 63448 is 4.

GCF(63428,63448) = 4

We will now calculate the prime factors of 63428 and 63448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63428 and 63448.

How to find the GCF of 63428 and 63448?

We will first find the prime factorization of 63428 and 63448. After we will calculate the factors of 63428 and 63448 and find the biggest common factor number .

Step-1: Prime Factorization of 63428

Prime factors of 63428 are 2, 101, 157. Prime factorization of 63428 in exponential form is:

63428 = 2² × 101¹ × 157¹

Step-2: 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-3: Factors of 63428

List of positive integer factors of 63428 that divides 63428 without a remainder.

1, 2, 4, 101, 157, 202, 314, 404, 628, 15857, 31714

Step-4: Factors of 63448

List of positive integer factors of 63448 that divides 63428 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63428 and 63448. The biggest common factor number is the GCF number.
So the greatest common factor 63428 and 63448 is 4.

Also check out the Least Common Multiple of 63428 and 63448