What is the Greatest Common Factor of 67100 and 67105?

Greatest common factor (GCF) of 67100 and 67105 is 5.

GCF(67100,67105) = 5

We will now calculate the prime factors of 67100 and 67105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67100 and 67105.

How to find the GCF of 67100 and 67105?

We will first find the prime factorization of 67100 and 67105. After we will calculate the factors of 67100 and 67105 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 67105

Prime factors of 67105 are 5, 13421. Prime factorization of 67105 in exponential form is:

67105 = 5¹ × 13421¹

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 67105

List of positive integer factors of 67105 that divides 67100 without a remainder.

1, 5, 13421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67100 and 67105. The biggest common factor number is the GCF number.
So the greatest common factor 67100 and 67105 is 5.

Also check out the Least Common Multiple of 67100 and 67105