What is the Greatest Common Factor of 63274 and 63282?

Greatest common factor (GCF) of 63274 and 63282 is 2.

GCF(63274,63282) = 2

We will now calculate the prime factors of 63274 and 63282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63274 and 63282.

How to find the GCF of 63274 and 63282?

We will first find the prime factorization of 63274 and 63282. After we will calculate the factors of 63274 and 63282 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 63282

Prime factors of 63282 are 2, 3, 53, 199. Prime factorization of 63282 in exponential form is:

63282 = 2¹ × 3¹ × 53¹ × 199¹

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 63282

List of positive integer factors of 63282 that divides 63274 without a remainder.

1, 2, 3, 6, 53, 106, 159, 199, 318, 398, 597, 1194, 10547, 21094, 31641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63274 and 63282. The biggest common factor number is the GCF number.
So the greatest common factor 63274 and 63282 is 2.

Also check out the Least Common Multiple of 63274 and 63282