What is the Greatest Common Factor of 63724 and 63742?

Greatest common factor (GCF) of 63724 and 63742 is 2.

GCF(63724,63742) = 2

We will now calculate the prime factors of 63724 and 63742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63724 and 63742.

How to find the GCF of 63724 and 63742?

We will first find the prime factorization of 63724 and 63742. After we will calculate the factors of 63724 and 63742 and find the biggest common factor number .

Step-1: Prime Factorization of 63724

Prime factors of 63724 are 2, 89, 179. Prime factorization of 63724 in exponential form is:

63724 = 2² × 89¹ × 179¹

Step-2: Prime Factorization of 63742

Prime factors of 63742 are 2, 7, 29, 157. Prime factorization of 63742 in exponential form is:

63742 = 2¹ × 7¹ × 29¹ × 157¹

Step-3: Factors of 63724

List of positive integer factors of 63724 that divides 63724 without a remainder.

1, 2, 4, 89, 178, 179, 356, 358, 716, 15931, 31862

Step-4: Factors of 63742

List of positive integer factors of 63742 that divides 63724 without a remainder.

1, 2, 7, 14, 29, 58, 157, 203, 314, 406, 1099, 2198, 4553, 9106, 31871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63724 and 63742. The biggest common factor number is the GCF number.
So the greatest common factor 63724 and 63742 is 2.

Also check out the Least Common Multiple of 63724 and 63742