What is the Greatest Common Factor of 35340 and 35350?

Greatest common factor (GCF) of 35340 and 35350 is 10.

GCF(35340,35350) = 10

We will now calculate the prime factors of 35340 and 35350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35340 and 35350.

How to find the GCF of 35340 and 35350?

We will first find the prime factorization of 35340 and 35350. After we will calculate the factors of 35340 and 35350 and find the biggest common factor number .

Step-1: Prime Factorization of 35340

Prime factors of 35340 are 2, 3, 5, 19, 31. Prime factorization of 35340 in exponential form is:

35340 = 2² × 3¹ × 5¹ × 19¹ × 31¹

Step-2: Prime Factorization of 35350

Prime factors of 35350 are 2, 5, 7, 101. Prime factorization of 35350 in exponential form is:

35350 = 2¹ × 5² × 7¹ × 101¹

Step-3: Factors of 35340

List of positive integer factors of 35340 that divides 35340 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 31, 38, 57, 60, 62, 76, 93, 95, 114, 124, 155, 186, 190, 228, 285, 310, 372, 380, 465, 570, 589, 620, 930, 1140, 1178, 1767, 1860, 2356, 2945, 3534, 5890, 7068, 8835, 11780, 17670

Step-4: Factors of 35350

List of positive integer factors of 35350 that divides 35340 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 101, 175, 202, 350, 505, 707, 1010, 1414, 2525, 3535, 5050, 7070, 17675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35340 and 35350. The biggest common factor number is the GCF number.
So the greatest common factor 35340 and 35350 is 10.

Also check out the Least Common Multiple of 35340 and 35350