What is the Greatest Common Factor of 35136 and 35151?

Greatest common factor (GCF) of 35136 and 35151 is 3.

GCF(35136,35151) = 3

We will now calculate the prime factors of 35136 and 35151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35136 and 35151.

How to find the GCF of 35136 and 35151?

We will first find the prime factorization of 35136 and 35151. After we will calculate the factors of 35136 and 35151 and find the biggest common factor number .

Step-1: Prime Factorization of 35136

Prime factors of 35136 are 2, 3, 61. Prime factorization of 35136 in exponential form is:

35136 = 2⁶ × 3² × 61¹

Step-2: Prime Factorization of 35151

Prime factors of 35151 are 3, 11717. Prime factorization of 35151 in exponential form is:

35151 = 3¹ × 11717¹

Step-3: Factors of 35136

List of positive integer factors of 35136 that divides 35136 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 61, 64, 72, 96, 122, 144, 183, 192, 244, 288, 366, 488, 549, 576, 732, 976, 1098, 1464, 1952, 2196, 2928, 3904, 4392, 5856, 8784, 11712, 17568

Step-4: Factors of 35151

List of positive integer factors of 35151 that divides 35136 without a remainder.

1, 3, 11717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35136 and 35151. The biggest common factor number is the GCF number.
So the greatest common factor 35136 and 35151 is 3.

Also check out the Least Common Multiple of 35136 and 35151