What is the Greatest Common Factor of 64116 and 64123?

Greatest common factor (GCF) of 64116 and 64123 is 1.

GCF(64116,64123) = 1

We will now calculate the prime factors of 64116 and 64123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64116 and 64123.

How to find the GCF of 64116 and 64123?

We will first find the prime factorization of 64116 and 64123. After we will calculate the factors of 64116 and 64123 and find the biggest common factor number .

Step-1: Prime Factorization of 64116

Prime factors of 64116 are 2, 3, 13, 137. Prime factorization of 64116 in exponential form is:

64116 = 2² × 3² × 13¹ × 137¹

Step-2: Prime Factorization of 64123

Prime factors of 64123 are 64123. Prime factorization of 64123 in exponential form is:

64123 = 64123¹

Step-3: Factors of 64116

List of positive integer factors of 64116 that divides 64116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 137, 156, 234, 274, 411, 468, 548, 822, 1233, 1644, 1781, 2466, 3562, 4932, 5343, 7124, 10686, 16029, 21372, 32058

Step-4: Factors of 64123

List of positive integer factors of 64123 that divides 64116 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64116 and 64123. The biggest common factor number is the GCF number.
So the greatest common factor 64116 and 64123 is 1.

Also check out the Least Common Multiple of 64116 and 64123