What is the Greatest Common Factor of 67270 and 67277?

Greatest common factor (GCF) of 67270 and 67277 is 7.

GCF(67270,67277) = 7

We will now calculate the prime factors of 67270 and 67277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67270 and 67277.

How to find the GCF of 67270 and 67277?

We will first find the prime factorization of 67270 and 67277. After we will calculate the factors of 67270 and 67277 and find the biggest common factor number .

Step-1: Prime Factorization of 67270

Prime factors of 67270 are 2, 5, 7, 31. Prime factorization of 67270 in exponential form is:

67270 = 2¹ × 5¹ × 7¹ × 31²

Step-2: Prime Factorization of 67277

Prime factors of 67277 are 7, 1373. Prime factorization of 67277 in exponential form is:

67277 = 7² × 1373¹

Step-3: Factors of 67270

List of positive integer factors of 67270 that divides 67270 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 961, 1085, 1922, 2170, 4805, 6727, 9610, 13454, 33635

Step-4: Factors of 67277

List of positive integer factors of 67277 that divides 67270 without a remainder.

1, 7, 49, 1373, 9611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67270 and 67277. The biggest common factor number is the GCF number.
So the greatest common factor 67270 and 67277 is 7.

Also check out the Least Common Multiple of 67270 and 67277