What is the Greatest Common Factor of 67670 and 67690?

Greatest common factor (GCF) of 67670 and 67690 is 10.

GCF(67670,67690) = 10

We will now calculate the prime factors of 67670 and 67690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67670 and 67690.

How to find the GCF of 67670 and 67690?

We will first find the prime factorization of 67670 and 67690. After we will calculate the factors of 67670 and 67690 and find the biggest common factor number .

Step-1: Prime Factorization of 67670

Prime factors of 67670 are 2, 5, 67, 101. Prime factorization of 67670 in exponential form is:

67670 = 2¹ × 5¹ × 67¹ × 101¹

Step-2: Prime Factorization of 67690

Prime factors of 67690 are 2, 5, 7, 967. Prime factorization of 67690 in exponential form is:

67690 = 2¹ × 5¹ × 7¹ × 967¹

Step-3: Factors of 67670

List of positive integer factors of 67670 that divides 67670 without a remainder.

1, 2, 5, 10, 67, 101, 134, 202, 335, 505, 670, 1010, 6767, 13534, 33835

Step-4: Factors of 67690

List of positive integer factors of 67690 that divides 67670 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 967, 1934, 4835, 6769, 9670, 13538, 33845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67670 and 67690. The biggest common factor number is the GCF number.
So the greatest common factor 67670 and 67690 is 10.

Also check out the Least Common Multiple of 67670 and 67690