What is the Greatest Common Factor of 35970 and 35981?

Greatest common factor (GCF) of 35970 and 35981 is 11.

GCF(35970,35981) = 11

We will now calculate the prime factors of 35970 and 35981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35970 and 35981.

How to find the GCF of 35970 and 35981?

We will first find the prime factorization of 35970 and 35981. After we will calculate the factors of 35970 and 35981 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 35981

Prime factors of 35981 are 11, 3271. Prime factorization of 35981 in exponential form is:

35981 = 11¹ × 3271¹

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 35981

List of positive integer factors of 35981 that divides 35970 without a remainder.

1, 11, 3271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35970 and 35981. The biggest common factor number is the GCF number.
So the greatest common factor 35970 and 35981 is 11.

Also check out the Least Common Multiple of 35970 and 35981