What is the Greatest Common Factor of 67076 and 67085?

Greatest common factor (GCF) of 67076 and 67085 is 1.

GCF(67076,67085) = 1

We will now calculate the prime factors of 67076 and 67085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67076 and 67085.

How to find the GCF of 67076 and 67085?

We will first find the prime factorization of 67076 and 67085. After we will calculate the factors of 67076 and 67085 and find the biggest common factor number .

Step-1: Prime Factorization of 67076

Prime factors of 67076 are 2, 41, 409. Prime factorization of 67076 in exponential form is:

67076 = 2² × 41¹ × 409¹

Step-2: Prime Factorization of 67085

Prime factors of 67085 are 5, 13417. Prime factorization of 67085 in exponential form is:

67085 = 5¹ × 13417¹

Step-3: Factors of 67076

List of positive integer factors of 67076 that divides 67076 without a remainder.

1, 2, 4, 41, 82, 164, 409, 818, 1636, 16769, 33538

Step-4: Factors of 67085

List of positive integer factors of 67085 that divides 67076 without a remainder.

1, 5, 13417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67076 and 67085. The biggest common factor number is the GCF number.
So the greatest common factor 67076 and 67085 is 1.

Also check out the Least Common Multiple of 67076 and 67085