What is the Greatest Common Factor of 35370 and 35388?

Greatest common factor (GCF) of 35370 and 35388 is 18.

GCF(35370,35388) = 18

We will now calculate the prime factors of 35370 and 35388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35370 and 35388.

How to find the GCF of 35370 and 35388?

We will first find the prime factorization of 35370 and 35388. After we will calculate the factors of 35370 and 35388 and find the biggest common factor number .

Step-1: Prime Factorization of 35370

Prime factors of 35370 are 2, 3, 5, 131. Prime factorization of 35370 in exponential form is:

35370 = 2¹ × 3³ × 5¹ × 131¹

Step-2: Prime Factorization of 35388

Prime factors of 35388 are 2, 3, 983. Prime factorization of 35388 in exponential form is:

35388 = 2² × 3² × 983¹

Step-3: Factors of 35370

List of positive integer factors of 35370 that divides 35370 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 131, 135, 262, 270, 393, 655, 786, 1179, 1310, 1965, 2358, 3537, 3930, 5895, 7074, 11790, 17685

Step-4: Factors of 35388

List of positive integer factors of 35388 that divides 35370 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 983, 1966, 2949, 3932, 5898, 8847, 11796, 17694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35370 and 35388. The biggest common factor number is the GCF number.
So the greatest common factor 35370 and 35388 is 18.

Also check out the Least Common Multiple of 35370 and 35388