What is the Greatest Common Factor of 35352 and 35372?

Greatest common factor (GCF) of 35352 and 35372 is 4.

GCF(35352,35372) = 4

We will now calculate the prime factors of 35352 and 35372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35352 and 35372.

How to find the GCF of 35352 and 35372?

We will first find the prime factorization of 35352 and 35372. After we will calculate the factors of 35352 and 35372 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 35372

Prime factors of 35372 are 2, 37, 239. Prime factorization of 35372 in exponential form is:

35372 = 2² × 37¹ × 239¹

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 35372

List of positive integer factors of 35372 that divides 35352 without a remainder.

1, 2, 4, 37, 74, 148, 239, 478, 956, 8843, 17686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35352 and 35372. The biggest common factor number is the GCF number.
So the greatest common factor 35352 and 35372 is 4.

Also check out the Least Common Multiple of 35352 and 35372