What is the Greatest Common Factor of 71670 and 71690?

Greatest common factor (GCF) of 71670 and 71690 is 10.

GCF(71670,71690) = 10

We will now calculate the prime factors of 71670 and 71690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71670 and 71690.

How to find the GCF of 71670 and 71690?

We will first find the prime factorization of 71670 and 71690. After we will calculate the factors of 71670 and 71690 and find the biggest common factor number .

Step-1: Prime Factorization of 71670

Prime factors of 71670 are 2, 3, 5, 2389. Prime factorization of 71670 in exponential form is:

71670 = 2¹ × 3¹ × 5¹ × 2389¹

Step-2: Prime Factorization of 71690

Prime factors of 71690 are 2, 5, 67, 107. Prime factorization of 71690 in exponential form is:

71690 = 2¹ × 5¹ × 67¹ × 107¹

Step-3: Factors of 71670

List of positive integer factors of 71670 that divides 71670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2389, 4778, 7167, 11945, 14334, 23890, 35835

Step-4: Factors of 71690

List of positive integer factors of 71690 that divides 71670 without a remainder.

1, 2, 5, 10, 67, 107, 134, 214, 335, 535, 670, 1070, 7169, 14338, 35845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71670 and 71690. The biggest common factor number is the GCF number.
So the greatest common factor 71670 and 71690 is 10.

Also check out the Least Common Multiple of 71670 and 71690