What is the Greatest Common Factor of 35670 and 35690?

Greatest common factor (GCF) of 35670 and 35690 is 10.

GCF(35670,35690) = 10

We will now calculate the prime factors of 35670 and 35690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35670 and 35690.

How to find the GCF of 35670 and 35690?

We will first find the prime factorization of 35670 and 35690. After we will calculate the factors of 35670 and 35690 and find the biggest common factor number .

Step-1: Prime Factorization of 35670

Prime factors of 35670 are 2, 3, 5, 29, 41. Prime factorization of 35670 in exponential form is:

35670 = 2¹ × 3¹ × 5¹ × 29¹ × 41¹

Step-2: Prime Factorization of 35690

Prime factors of 35690 are 2, 5, 43, 83. Prime factorization of 35690 in exponential form is:

35690 = 2¹ × 5¹ × 43¹ × 83¹

Step-3: Factors of 35670

List of positive integer factors of 35670 that divides 35670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 41, 58, 82, 87, 123, 145, 174, 205, 246, 290, 410, 435, 615, 870, 1189, 1230, 2378, 3567, 5945, 7134, 11890, 17835

Step-4: Factors of 35690

List of positive integer factors of 35690 that divides 35670 without a remainder.

1, 2, 5, 10, 43, 83, 86, 166, 215, 415, 430, 830, 3569, 7138, 17845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35670 and 35690. The biggest common factor number is the GCF number.
So the greatest common factor 35670 and 35690 is 10.

Also check out the Least Common Multiple of 35670 and 35690