What is the Greatest Common Factor of 53564 and 53578?

Greatest common factor (GCF) of 53564 and 53578 is 14.

GCF(53564,53578) = 14

We will now calculate the prime factors of 53564 and 53578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53564 and 53578.

How to find the GCF of 53564 and 53578?

We will first find the prime factorization of 53564 and 53578. After we will calculate the factors of 53564 and 53578 and find the biggest common factor number .

Step-1: Prime Factorization of 53564

Prime factors of 53564 are 2, 7, 1913. Prime factorization of 53564 in exponential form is:

53564 = 2² × 7¹ × 1913¹

Step-2: 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-3: Factors of 53564

List of positive integer factors of 53564 that divides 53564 without a remainder.

1, 2, 4, 7, 14, 28, 1913, 3826, 7652, 13391, 26782

Step-4: Factors of 53578

List of positive integer factors of 53578 that divides 53564 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53564 and 53578. The biggest common factor number is the GCF number.
So the greatest common factor 53564 and 53578 is 14.

Also check out the Least Common Multiple of 53564 and 53578