What is the Greatest Common Factor of 77585 and 77590?

Greatest common factor (GCF) of 77585 and 77590 is 5.

GCF(77585,77590) = 5

We will now calculate the prime factors of 77585 and 77590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77585 and 77590.

How to find the GCF of 77585 and 77590?

We will first find the prime factorization of 77585 and 77590. After we will calculate the factors of 77585 and 77590 and find the biggest common factor number .

Step-1: Prime Factorization of 77585

Prime factors of 77585 are 5, 59, 263. Prime factorization of 77585 in exponential form is:

77585 = 5¹ × 59¹ × 263¹

Step-2: Prime Factorization of 77590

Prime factors of 77590 are 2, 5, 7759. Prime factorization of 77590 in exponential form is:

77590 = 2¹ × 5¹ × 7759¹

Step-3: Factors of 77585

List of positive integer factors of 77585 that divides 77585 without a remainder.

1, 5, 59, 263, 295, 1315, 15517

Step-4: Factors of 77590

List of positive integer factors of 77590 that divides 77585 without a remainder.

1, 2, 5, 10, 7759, 15518, 38795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77585 and 77590. The biggest common factor number is the GCF number.
So the greatest common factor 77585 and 77590 is 5.

Also check out the Least Common Multiple of 77585 and 77590