What is the Greatest Common Factor of 67711 and 67725?

Greatest common factor (GCF) of 67711 and 67725 is 7.

GCF(67711,67725) = 7

We will now calculate the prime factors of 67711 and 67725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67711 and 67725.

How to find the GCF of 67711 and 67725?

We will first find the prime factorization of 67711 and 67725. After we will calculate the factors of 67711 and 67725 and find the biggest common factor number .

Step-1: Prime Factorization of 67711

Prime factors of 67711 are 7, 17, 569. Prime factorization of 67711 in exponential form is:

67711 = 7¹ × 17¹ × 569¹

Step-2: Prime Factorization of 67725

Prime factors of 67725 are 3, 5, 7, 43. Prime factorization of 67725 in exponential form is:

67725 = 3² × 5² × 7¹ × 43¹

Step-3: Factors of 67711

List of positive integer factors of 67711 that divides 67711 without a remainder.

1, 7, 17, 119, 569, 3983, 9673

Step-4: Factors of 67725

List of positive integer factors of 67725 that divides 67711 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 43, 45, 63, 75, 105, 129, 175, 215, 225, 301, 315, 387, 525, 645, 903, 1075, 1505, 1575, 1935, 2709, 3225, 4515, 7525, 9675, 13545, 22575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67711 and 67725. The biggest common factor number is the GCF number.
So the greatest common factor 67711 and 67725 is 7.

Also check out the Least Common Multiple of 67711 and 67725