What is the Greatest Common Factor of 53578 and 53585?

Greatest common factor (GCF) of 53578 and 53585 is 7.

GCF(53578,53585) = 7

We will now calculate the prime factors of 53578 and 53585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53578 and 53585.

How to find the GCF of 53578 and 53585?

We will first find the prime factorization of 53578 and 53585. After we will calculate the factors of 53578 and 53585 and find the biggest common factor number .

Step-1: Prime Factorization of 53578

Prime factors of 53578 are 2, 7, 43, 89. Prime factorization of 53578 in exponential form is:

53578 = 2¹ × 7¹ × 43¹ × 89¹

Step-2: Prime Factorization of 53585

Prime factors of 53585 are 5, 7, 1531. Prime factorization of 53585 in exponential form is:

53585 = 5¹ × 7¹ × 1531¹

Step-3: Factors of 53578

List of positive integer factors of 53578 that divides 53578 without a remainder.

1, 2, 7, 14, 43, 86, 89, 178, 301, 602, 623, 1246, 3827, 7654, 26789

Step-4: Factors of 53585

List of positive integer factors of 53585 that divides 53578 without a remainder.

1, 5, 7, 35, 1531, 7655, 10717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53578 and 53585. The biggest common factor number is the GCF number.
So the greatest common factor 53578 and 53585 is 7.

Also check out the Least Common Multiple of 53578 and 53585