What is the Greatest Common Factor of 63156 and 63164?

Greatest common factor (GCF) of 63156 and 63164 is 4.

GCF(63156,63164) = 4

We will now calculate the prime factors of 63156 and 63164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63156 and 63164.

How to find the GCF of 63156 and 63164?

We will first find the prime factorization of 63156 and 63164. After we will calculate the factors of 63156 and 63164 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 63164

Prime factors of 63164 are 2, 15791. Prime factorization of 63164 in exponential form is:

63164 = 2² × 15791¹

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 63164

List of positive integer factors of 63164 that divides 63156 without a remainder.

1, 2, 4, 15791, 31582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63156 and 63164. The biggest common factor number is the GCF number.
So the greatest common factor 63156 and 63164 is 4.

Also check out the Least Common Multiple of 63156 and 63164