What is the Greatest Common Factor of 67100 and 67110?

Greatest common factor (GCF) of 67100 and 67110 is 10.

GCF(67100,67110) = 10

We will now calculate the prime factors of 67100 and 67110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67100 and 67110.

How to find the GCF of 67100 and 67110?

We will first find the prime factorization of 67100 and 67110. After we will calculate the factors of 67100 and 67110 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 67110

Prime factors of 67110 are 2, 3, 5, 2237. Prime factorization of 67110 in exponential form is:

67110 = 2¹ × 3¹ × 5¹ × 2237¹

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 67110

List of positive integer factors of 67110 that divides 67100 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2237, 4474, 6711, 11185, 13422, 22370, 33555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67100 and 67110. The biggest common factor number is the GCF number.
So the greatest common factor 67100 and 67110 is 10.

Also check out the Least Common Multiple of 67100 and 67110