What is the Greatest Common Factor of 35139 and 35154?

Greatest common factor (GCF) of 35139 and 35154 is 3.

GCF(35139,35154) = 3

We will now calculate the prime factors of 35139 and 35154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35139 and 35154.

How to find the GCF of 35139 and 35154?

We will first find the prime factorization of 35139 and 35154. After we will calculate the factors of 35139 and 35154 and find the biggest common factor number .

Step-1: Prime Factorization of 35139

Prime factors of 35139 are 3, 13, 17, 53. Prime factorization of 35139 in exponential form is:

35139 = 3¹ × 13¹ × 17¹ × 53¹

Step-2: Prime Factorization of 35154

Prime factors of 35154 are 2, 3, 7, 31. Prime factorization of 35154 in exponential form is:

35154 = 2¹ × 3⁴ × 7¹ × 31¹

Step-3: Factors of 35139

List of positive integer factors of 35139 that divides 35139 without a remainder.

1, 3, 13, 17, 39, 51, 53, 159, 221, 663, 689, 901, 2067, 2703, 11713

Step-4: Factors of 35154

List of positive integer factors of 35154 that divides 35139 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 31, 42, 54, 62, 63, 81, 93, 126, 162, 186, 189, 217, 279, 378, 434, 558, 567, 651, 837, 1134, 1302, 1674, 1953, 2511, 3906, 5022, 5859, 11718, 17577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35139 and 35154. The biggest common factor number is the GCF number.
So the greatest common factor 35139 and 35154 is 3.

Also check out the Least Common Multiple of 35139 and 35154