What is the Greatest Common Factor of 71690 and 71700?

Greatest common factor (GCF) of 71690 and 71700 is 10.

GCF(71690,71700) = 10

We will now calculate the prime factors of 71690 and 71700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71690 and 71700.

How to find the GCF of 71690 and 71700?

We will first find the prime factorization of 71690 and 71700. After we will calculate the factors of 71690 and 71700 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71700

Prime factors of 71700 are 2, 3, 5, 239. Prime factorization of 71700 in exponential form is:

71700 = 2² × 3¹ × 5² × 239¹

Step-3: Factors of 71690

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

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

Step-4: Factors of 71700

List of positive integer factors of 71700 that divides 71690 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 239, 300, 478, 717, 956, 1195, 1434, 2390, 2868, 3585, 4780, 5975, 7170, 11950, 14340, 17925, 23900, 35850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71690 and 71700. The biggest common factor number is the GCF number.
So the greatest common factor 71690 and 71700 is 10.

Also check out the Least Common Multiple of 71690 and 71700