What is the Greatest Common Factor of 85120 and 85139?

Greatest common factor (GCF) of 85120 and 85139 is 19.

GCF(85120,85139) = 19

We will now calculate the prime factors of 85120 and 85139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85120 and 85139.

How to find the GCF of 85120 and 85139?

We will first find the prime factorization of 85120 and 85139. After we will calculate the factors of 85120 and 85139 and find the biggest common factor number .

Step-1: Prime Factorization of 85120

Prime factors of 85120 are 2, 5, 7, 19. Prime factorization of 85120 in exponential form is:

85120 = 2⁷ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 85139

Prime factors of 85139 are 19, 4481. Prime factorization of 85139 in exponential form is:

85139 = 19¹ × 4481¹

Step-3: Factors of 85120

List of positive integer factors of 85120 that divides 85120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 32, 35, 38, 40, 56, 64, 70, 76, 80, 95, 112, 128, 133, 140, 152, 160, 190, 224, 266, 280, 304, 320, 380, 448, 532, 560, 608, 640, 665, 760, 896, 1064, 1120, 1216, 1330, 1520, 2128, 2240, 2432, 2660, 3040, 4256, 4480, 5320, 6080, 8512, 10640, 12160, 17024, 21280, 42560

Step-4: Factors of 85139

List of positive integer factors of 85139 that divides 85120 without a remainder.

1, 19, 4481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85120 and 85139. The biggest common factor number is the GCF number.
So the greatest common factor 85120 and 85139 is 19.

Also check out the Least Common Multiple of 85120 and 85139