What is the Greatest Common Factor of 35665 and 35670?

Greatest common factor (GCF) of 35665 and 35670 is 5.

GCF(35665,35670) = 5

We will now calculate the prime factors of 35665 and 35670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35665 and 35670.

How to find the GCF of 35665 and 35670?

We will first find the prime factorization of 35665 and 35670. After we will calculate the factors of 35665 and 35670 and find the biggest common factor number .

Step-1: Prime Factorization of 35665

Prime factors of 35665 are 5, 7, 1019. Prime factorization of 35665 in exponential form is:

35665 = 5¹ × 7¹ × 1019¹

Step-2: 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-3: Factors of 35665

List of positive integer factors of 35665 that divides 35665 without a remainder.

1, 5, 7, 35, 1019, 5095, 7133

Step-4: Factors of 35670

List of positive integer factors of 35670 that divides 35665 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35665 and 35670. The biggest common factor number is the GCF number.
So the greatest common factor 35665 and 35670 is 5.

Also check out the Least Common Multiple of 35665 and 35670