What is the Greatest Common Factor of 78584 and 78590?

Greatest common factor (GCF) of 78584 and 78590 is 2.

GCF(78584,78590) = 2

We will now calculate the prime factors of 78584 and 78590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78584 and 78590.

How to find the GCF of 78584 and 78590?

We will first find the prime factorization of 78584 and 78590. After we will calculate the factors of 78584 and 78590 and find the biggest common factor number .

Step-1: Prime Factorization of 78584

Prime factors of 78584 are 2, 11, 19, 47. Prime factorization of 78584 in exponential form is:

78584 = 2³ × 11¹ × 19¹ × 47¹

Step-2: Prime Factorization of 78590

Prime factors of 78590 are 2, 5, 29, 271. Prime factorization of 78590 in exponential form is:

78590 = 2¹ × 5¹ × 29¹ × 271¹

Step-3: Factors of 78584

List of positive integer factors of 78584 that divides 78584 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 47, 76, 88, 94, 152, 188, 209, 376, 418, 517, 836, 893, 1034, 1672, 1786, 2068, 3572, 4136, 7144, 9823, 19646, 39292

Step-4: Factors of 78590

List of positive integer factors of 78590 that divides 78584 without a remainder.

1, 2, 5, 10, 29, 58, 145, 271, 290, 542, 1355, 2710, 7859, 15718, 39295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78584 and 78590. The biggest common factor number is the GCF number.
So the greatest common factor 78584 and 78590 is 2.

Also check out the Least Common Multiple of 78584 and 78590