What is the Greatest Common Factor of 63274 and 63288?

Greatest common factor (GCF) of 63274 and 63288 is 2.

GCF(63274,63288) = 2

We will now calculate the prime factors of 63274 and 63288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63274 and 63288.

How to find the GCF of 63274 and 63288?

We will first find the prime factorization of 63274 and 63288. After we will calculate the factors of 63274 and 63288 and find the biggest common factor number .

Step-1: Prime Factorization of 63274

Prime factors of 63274 are 2, 17, 1861. Prime factorization of 63274 in exponential form is:

63274 = 2¹ × 17¹ × 1861¹

Step-2: Prime Factorization of 63288

Prime factors of 63288 are 2, 3, 293. Prime factorization of 63288 in exponential form is:

63288 = 2³ × 3³ × 293¹

Step-3: Factors of 63274

List of positive integer factors of 63274 that divides 63274 without a remainder.

1, 2, 17, 34, 1861, 3722, 31637

Step-4: Factors of 63288

List of positive integer factors of 63288 that divides 63274 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 5274, 7032, 7911, 10548, 15822, 21096, 31644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63274 and 63288. The biggest common factor number is the GCF number.
So the greatest common factor 63274 and 63288 is 2.

Also check out the Least Common Multiple of 63274 and 63288