What is the Greatest Common Factor of 67100 and 67111?

Greatest common factor (GCF) of 67100 and 67111 is 11.

GCF(67100,67111) = 11

We will now calculate the prime factors of 67100 and 67111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67100 and 67111.

How to find the GCF of 67100 and 67111?

We will first find the prime factorization of 67100 and 67111. After we will calculate the factors of 67100 and 67111 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 67111

Prime factors of 67111 are 11, 6101. Prime factorization of 67111 in exponential form is:

67111 = 11¹ × 6101¹

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 67111

List of positive integer factors of 67111 that divides 67100 without a remainder.

1, 11, 6101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67100 and 67111. The biggest common factor number is the GCF number.
So the greatest common factor 67100 and 67111 is 11.

Also check out the Least Common Multiple of 67100 and 67111