What is the Greatest Common Factor of 67085 and 67100?

Greatest common factor (GCF) of 67085 and 67100 is 5.

GCF(67085,67100) = 5

We will now calculate the prime factors of 67085 and 67100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67085 and 67100.

How to find the GCF of 67085 and 67100?

We will first find the prime factorization of 67085 and 67100. After we will calculate the factors of 67085 and 67100 and find the biggest common factor number .

Step-1: Prime Factorization of 67085

Prime factors of 67085 are 5, 13417. Prime factorization of 67085 in exponential form is:

67085 = 5¹ × 13417¹

Step-2: Prime Factorization of 67100

Prime factors of 67100 are 2, 5, 11, 61. Prime factorization of 67100 in exponential form is:

67100 = 2² × 5² × 11¹ × 61¹

Step-3: Factors of 67085

List of positive integer factors of 67085 that divides 67085 without a remainder.

1, 5, 13417

Step-4: Factors of 67100

List of positive integer factors of 67100 that divides 67085 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 61, 100, 110, 122, 220, 244, 275, 305, 550, 610, 671, 1100, 1220, 1342, 1525, 2684, 3050, 3355, 6100, 6710, 13420, 16775, 33550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67085 and 67100. The biggest common factor number is the GCF number.
So the greatest common factor 67085 and 67100 is 5.

Also check out the Least Common Multiple of 67085 and 67100