What is the Greatest Common Factor of 67100 and 67117?

Greatest common factor (GCF) of 67100 and 67117 is 1.

GCF(67100,67117) = 1

We will now calculate the prime factors of 67100 and 67117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67100 and 67117.

How to find the GCF of 67100 and 67117?

We will first find the prime factorization of 67100 and 67117. After we will calculate the factors of 67100 and 67117 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 67117

Prime factors of 67117 are 41, 1637. Prime factorization of 67117 in exponential form is:

67117 = 41¹ × 1637¹

Step-3: Factors of 67100

List of positive integer factors of 67100 that divides 67100 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

Step-4: Factors of 67117

List of positive integer factors of 67117 that divides 67100 without a remainder.

1, 41, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67100 and 67117. The biggest common factor number is the GCF number.
So the greatest common factor 67100 and 67117 is 1.

Also check out the Least Common Multiple of 67100 and 67117