What is the Greatest Common Factor of 67088 and 67100?

Greatest common factor (GCF) of 67088 and 67100 is 4.

GCF(67088,67100) = 4

We will now calculate the prime factors of 67088 and 67100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67088 and 67100.

How to find the GCF of 67088 and 67100?

We will first find the prime factorization of 67088 and 67100. After we will calculate the factors of 67088 and 67100 and find the biggest common factor number .

Step-1: Prime Factorization of 67088

Prime factors of 67088 are 2, 7, 599. Prime factorization of 67088 in exponential form is:

67088 = 2⁴ × 7¹ × 599¹

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 67088

List of positive integer factors of 67088 that divides 67088 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 599, 1198, 2396, 4193, 4792, 8386, 9584, 16772, 33544

Step-4: Factors of 67100

List of positive integer factors of 67100 that divides 67088 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 67088 and 67100. The biggest common factor number is the GCF number.
So the greatest common factor 67088 and 67100 is 4.

Also check out the Least Common Multiple of 67088 and 67100