What is the Greatest Common Factor of 63538 and 63544?

Greatest common factor (GCF) of 63538 and 63544 is 2.

GCF(63538,63544) = 2

We will now calculate the prime factors of 63538 and 63544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63538 and 63544.

How to find the GCF of 63538 and 63544?

We will first find the prime factorization of 63538 and 63544. After we will calculate the factors of 63538 and 63544 and find the biggest common factor number .

Step-1: Prime Factorization of 63538

Prime factors of 63538 are 2, 31769. Prime factorization of 63538 in exponential form is:

63538 = 2¹ × 31769¹

Step-2: Prime Factorization of 63544

Prime factors of 63544 are 2, 13, 47. Prime factorization of 63544 in exponential form is:

63544 = 2³ × 13² × 47¹

Step-3: Factors of 63538

List of positive integer factors of 63538 that divides 63538 without a remainder.

1, 2, 31769

Step-4: Factors of 63544

List of positive integer factors of 63544 that divides 63538 without a remainder.

1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 169, 188, 338, 376, 611, 676, 1222, 1352, 2444, 4888, 7943, 15886, 31772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63538 and 63544. The biggest common factor number is the GCF number.
So the greatest common factor 63538 and 63544 is 2.

Also check out the Least Common Multiple of 63538 and 63544