What is the Greatest Common Factor of 61319 and 61336?

Greatest common factor (GCF) of 61319 and 61336 is 17.

GCF(61319,61336) = 17

We will now calculate the prime factors of 61319 and 61336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61319 and 61336.

How to find the GCF of 61319 and 61336?

We will first find the prime factorization of 61319 and 61336. After we will calculate the factors of 61319 and 61336 and find the biggest common factor number .

Step-1: Prime Factorization of 61319

Prime factors of 61319 are 17, 3607. Prime factorization of 61319 in exponential form is:

61319 = 17¹ × 3607¹

Step-2: Prime Factorization of 61336

Prime factors of 61336 are 2, 11, 17, 41. Prime factorization of 61336 in exponential form is:

61336 = 2³ × 11¹ × 17¹ × 41¹

Step-3: Factors of 61319

List of positive integer factors of 61319 that divides 61319 without a remainder.

1, 17, 3607

Step-4: Factors of 61336

List of positive integer factors of 61336 that divides 61319 without a remainder.

1, 2, 4, 8, 11, 17, 22, 34, 41, 44, 68, 82, 88, 136, 164, 187, 328, 374, 451, 697, 748, 902, 1394, 1496, 1804, 2788, 3608, 5576, 7667, 15334, 30668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61319 and 61336. The biggest common factor number is the GCF number.
So the greatest common factor 61319 and 61336 is 17.

Also check out the Least Common Multiple of 61319 and 61336