What is the Greatest Common Factor of 67925 and 67943?

Greatest common factor (GCF) of 67925 and 67943 is 1.

GCF(67925,67943) = 1

We will now calculate the prime factors of 67925 and 67943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67925 and 67943.

How to find the GCF of 67925 and 67943?

We will first find the prime factorization of 67925 and 67943. After we will calculate the factors of 67925 and 67943 and find the biggest common factor number .

Step-1: Prime Factorization of 67925

Prime factors of 67925 are 5, 11, 13, 19. Prime factorization of 67925 in exponential form is:

67925 = 5² × 11¹ × 13¹ × 19¹

Step-2: Prime Factorization of 67943

Prime factors of 67943 are 67943. Prime factorization of 67943 in exponential form is:

67943 = 67943¹

Step-3: Factors of 67925

List of positive integer factors of 67925 that divides 67925 without a remainder.

1, 5, 11, 13, 19, 25, 55, 65, 95, 143, 209, 247, 275, 325, 475, 715, 1045, 1235, 2717, 3575, 5225, 6175, 13585

Step-4: Factors of 67943

List of positive integer factors of 67943 that divides 67925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67925 and 67943. The biggest common factor number is the GCF number.
So the greatest common factor 67925 and 67943 is 1.

Also check out the Least Common Multiple of 67925 and 67943