What is the Greatest Common Factor of 35154 and 35169?

Greatest common factor (GCF) of 35154 and 35169 is 3.

GCF(35154,35169) = 3

We will now calculate the prime factors of 35154 and 35169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35154 and 35169.

How to find the GCF of 35154 and 35169?

We will first find the prime factorization of 35154 and 35169. After we will calculate the factors of 35154 and 35169 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35169

Prime factors of 35169 are 3, 19, 617. Prime factorization of 35169 in exponential form is:

35169 = 3¹ × 19¹ × 617¹

Step-3: Factors of 35154

List of positive integer factors of 35154 that divides 35154 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

Step-4: Factors of 35169

List of positive integer factors of 35169 that divides 35154 without a remainder.

1, 3, 19, 57, 617, 1851, 11723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35154 and 35169. The biggest common factor number is the GCF number.
So the greatest common factor 35154 and 35169 is 3.

Also check out the Least Common Multiple of 35154 and 35169