What is the Greatest Common Factor of 77580 and 77597?

Greatest common factor (GCF) of 77580 and 77597 is 1.

GCF(77580,77597) = 1

We will now calculate the prime factors of 77580 and 77597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77580 and 77597.

How to find the GCF of 77580 and 77597?

We will first find the prime factorization of 77580 and 77597. After we will calculate the factors of 77580 and 77597 and find the biggest common factor number .

Step-1: Prime Factorization of 77580

Prime factors of 77580 are 2, 3, 5, 431. Prime factorization of 77580 in exponential form is:

77580 = 2² × 3² × 5¹ × 431¹

Step-2: Prime Factorization of 77597

Prime factors of 77597 are 13, 47, 127. Prime factorization of 77597 in exponential form is:

77597 = 13¹ × 47¹ × 127¹

Step-3: Factors of 77580

List of positive integer factors of 77580 that divides 77580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 431, 862, 1293, 1724, 2155, 2586, 3879, 4310, 5172, 6465, 7758, 8620, 12930, 15516, 19395, 25860, 38790

Step-4: Factors of 77597

List of positive integer factors of 77597 that divides 77580 without a remainder.

1, 13, 47, 127, 611, 1651, 5969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77580 and 77597. The biggest common factor number is the GCF number.
So the greatest common factor 77580 and 77597 is 1.

Also check out the Least Common Multiple of 77580 and 77597