What is the Greatest Common Factor of 35970 and 35986?

Greatest common factor (GCF) of 35970 and 35986 is 2.

GCF(35970,35986) = 2

We will now calculate the prime factors of 35970 and 35986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35970 and 35986.

How to find the GCF of 35970 and 35986?

We will first find the prime factorization of 35970 and 35986. After we will calculate the factors of 35970 and 35986 and find the biggest common factor number .

Step-1: Prime Factorization of 35970

Prime factors of 35970 are 2, 3, 5, 11, 109. Prime factorization of 35970 in exponential form is:

35970 = 2¹ × 3¹ × 5¹ × 11¹ × 109¹

Step-2: Prime Factorization of 35986

Prime factors of 35986 are 2, 19, 947. Prime factorization of 35986 in exponential form is:

35986 = 2¹ × 19¹ × 947¹

Step-3: Factors of 35970

List of positive integer factors of 35970 that divides 35970 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 109, 110, 165, 218, 327, 330, 545, 654, 1090, 1199, 1635, 2398, 3270, 3597, 5995, 7194, 11990, 17985

Step-4: Factors of 35986

List of positive integer factors of 35986 that divides 35970 without a remainder.

1, 2, 19, 38, 947, 1894, 17993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35970 and 35986. The biggest common factor number is the GCF number.
So the greatest common factor 35970 and 35986 is 2.

Also check out the Least Common Multiple of 35970 and 35986