What is the Greatest Common Factor of 63156 and 63165?

Greatest common factor (GCF) of 63156 and 63165 is 3.

GCF(63156,63165) = 3

We will now calculate the prime factors of 63156 and 63165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63156 and 63165.

How to find the GCF of 63156 and 63165?

We will first find the prime factorization of 63156 and 63165. After we will calculate the factors of 63156 and 63165 and find the biggest common factor number .

Step-1: Prime Factorization of 63156

Prime factors of 63156 are 2, 3, 19, 277. Prime factorization of 63156 in exponential form is:

63156 = 2² × 3¹ × 19¹ × 277¹

Step-2: Prime Factorization of 63165

Prime factors of 63165 are 3, 5, 4211. Prime factorization of 63165 in exponential form is:

63165 = 3¹ × 5¹ × 4211¹

Step-3: Factors of 63156

List of positive integer factors of 63156 that divides 63156 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 277, 554, 831, 1108, 1662, 3324, 5263, 10526, 15789, 21052, 31578

Step-4: Factors of 63165

List of positive integer factors of 63165 that divides 63156 without a remainder.

1, 3, 5, 15, 4211, 12633, 21055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63156 and 63165. The biggest common factor number is the GCF number.
So the greatest common factor 63156 and 63165 is 3.

Also check out the Least Common Multiple of 63156 and 63165