What is the Greatest Common Factor of 35120 and 35139?

Greatest common factor (GCF) of 35120 and 35139 is 1.

GCF(35120,35139) = 1

We will now calculate the prime factors of 35120 and 35139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35120 and 35139.

How to find the GCF of 35120 and 35139?

We will first find the prime factorization of 35120 and 35139. After we will calculate the factors of 35120 and 35139 and find the biggest common factor number .

Step-1: Prime Factorization of 35120

Prime factors of 35120 are 2, 5, 439. Prime factorization of 35120 in exponential form is:

35120 = 2⁴ × 5¹ × 439¹

Step-2: 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-3: Factors of 35120

List of positive integer factors of 35120 that divides 35120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 439, 878, 1756, 2195, 3512, 4390, 7024, 8780, 17560

Step-4: Factors of 35139

List of positive integer factors of 35139 that divides 35120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35120 and 35139. The biggest common factor number is the GCF number.
So the greatest common factor 35120 and 35139 is 1.

Also check out the Least Common Multiple of 35120 and 35139