What is the Greatest Common Factor of 67114 and 67124?

Greatest common factor (GCF) of 67114 and 67124 is 2.

GCF(67114,67124) = 2

We will now calculate the prime factors of 67114 and 67124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67114 and 67124.

How to find the GCF of 67114 and 67124?

We will first find the prime factorization of 67114 and 67124. After we will calculate the factors of 67114 and 67124 and find the biggest common factor number .

Step-1: Prime Factorization of 67114

Prime factors of 67114 are 2, 23, 1459. Prime factorization of 67114 in exponential form is:

67114 = 2¹ × 23¹ × 1459¹

Step-2: Prime Factorization of 67124

Prime factors of 67124 are 2, 97, 173. Prime factorization of 67124 in exponential form is:

67124 = 2² × 97¹ × 173¹

Step-3: Factors of 67114

List of positive integer factors of 67114 that divides 67114 without a remainder.

1, 2, 23, 46, 1459, 2918, 33557

Step-4: Factors of 67124

List of positive integer factors of 67124 that divides 67114 without a remainder.

1, 2, 4, 97, 173, 194, 346, 388, 692, 16781, 33562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67114 and 67124. The biggest common factor number is the GCF number.
So the greatest common factor 67114 and 67124 is 2.

Also check out the Least Common Multiple of 67114 and 67124