What is the Greatest Common Factor of 35352 and 35358?

Greatest common factor (GCF) of 35352 and 35358 is 6.

GCF(35352,35358) = 6

We will now calculate the prime factors of 35352 and 35358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35352 and 35358.

How to find the GCF of 35352 and 35358?

We will first find the prime factorization of 35352 and 35358. After we will calculate the factors of 35352 and 35358 and find the biggest common factor number .

Step-1: Prime Factorization of 35352

Prime factors of 35352 are 2, 3, 491. Prime factorization of 35352 in exponential form is:

35352 = 2³ × 3² × 491¹

Step-2: Prime Factorization of 35358

Prime factors of 35358 are 2, 3, 71, 83. Prime factorization of 35358 in exponential form is:

35358 = 2¹ × 3¹ × 71¹ × 83¹

Step-3: Factors of 35352

List of positive integer factors of 35352 that divides 35352 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 491, 982, 1473, 1964, 2946, 3928, 4419, 5892, 8838, 11784, 17676

Step-4: Factors of 35358

List of positive integer factors of 35358 that divides 35352 without a remainder.

1, 2, 3, 6, 71, 83, 142, 166, 213, 249, 426, 498, 5893, 11786, 17679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35352 and 35358. The biggest common factor number is the GCF number.
So the greatest common factor 35352 and 35358 is 6.

Also check out the Least Common Multiple of 35352 and 35358