What is the Greatest Common Factor of 63261 and 63274?

Greatest common factor (GCF) of 63261 and 63274 is 1.

GCF(63261,63274) = 1

We will now calculate the prime factors of 63261 and 63274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63261 and 63274.

How to find the GCF of 63261 and 63274?

We will first find the prime factorization of 63261 and 63274. After we will calculate the factors of 63261 and 63274 and find the biggest common factor number .

Step-1: Prime Factorization of 63261

Prime factors of 63261 are 3, 11, 71. Prime factorization of 63261 in exponential form is:

63261 = 3⁴ × 11¹ × 71¹

Step-2: 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-3: Factors of 63261

List of positive integer factors of 63261 that divides 63261 without a remainder.

1, 3, 9, 11, 27, 33, 71, 81, 99, 213, 297, 639, 781, 891, 1917, 2343, 5751, 7029, 21087

Step-4: Factors of 63274

List of positive integer factors of 63274 that divides 63261 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63261 and 63274. The biggest common factor number is the GCF number.
So the greatest common factor 63261 and 63274 is 1.

Also check out the Least Common Multiple of 63261 and 63274