What is the Greatest Common Factor of 35670 and 35687?

Greatest common factor (GCF) of 35670 and 35687 is 1.

GCF(35670,35687) = 1

We will now calculate the prime factors of 35670 and 35687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35670 and 35687.

How to find the GCF of 35670 and 35687?

We will first find the prime factorization of 35670 and 35687. After we will calculate the factors of 35670 and 35687 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 35687

Prime factors of 35687 are 127, 281. Prime factorization of 35687 in exponential form is:

35687 = 127¹ × 281¹

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 35687

List of positive integer factors of 35687 that divides 35670 without a remainder.

1, 127, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35670 and 35687. The biggest common factor number is the GCF number.
So the greatest common factor 35670 and 35687 is 1.

Also check out the Least Common Multiple of 35670 and 35687