What is the Greatest Common Factor of 67925 and 67944?

Greatest common factor (GCF) of 67925 and 67944 is 19.

GCF(67925,67944) = 19

We will now calculate the prime factors of 67925 and 67944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67925 and 67944.

How to find the GCF of 67925 and 67944?

We will first find the prime factorization of 67925 and 67944. After we will calculate the factors of 67925 and 67944 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 67944

Prime factors of 67944 are 2, 3, 19, 149. Prime factorization of 67944 in exponential form is:

67944 = 2³ × 3¹ × 19¹ × 149¹

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 67944

List of positive integer factors of 67944 that divides 67925 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 149, 152, 228, 298, 447, 456, 596, 894, 1192, 1788, 2831, 3576, 5662, 8493, 11324, 16986, 22648, 33972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67925 and 67944. The biggest common factor number is the GCF number.
So the greatest common factor 67925 and 67944 is 19.

Also check out the Least Common Multiple of 67925 and 67944