What is the Greatest Common Factor of 20527 and 20540?

Greatest common factor (GCF) of 20527 and 20540 is 13.

GCF(20527,20540) = 13

We will now calculate the prime factors of 20527 and 20540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20527 and 20540.

How to find the GCF of 20527 and 20540?

We will first find the prime factorization of 20527 and 20540. After we will calculate the factors of 20527 and 20540 and find the biggest common factor number .

Step-1: Prime Factorization of 20527

Prime factors of 20527 are 13, 1579. Prime factorization of 20527 in exponential form is:

20527 = 13¹ × 1579¹

Step-2: Prime Factorization of 20540

Prime factors of 20540 are 2, 5, 13, 79. Prime factorization of 20540 in exponential form is:

20540 = 2² × 5¹ × 13¹ × 79¹

Step-3: Factors of 20527

List of positive integer factors of 20527 that divides 20527 without a remainder.

1, 13, 1579

Step-4: Factors of 20540

List of positive integer factors of 20540 that divides 20527 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 79, 130, 158, 260, 316, 395, 790, 1027, 1580, 2054, 4108, 5135, 10270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20527 and 20540. The biggest common factor number is the GCF number.
So the greatest common factor 20527 and 20540 is 13.

Also check out the Least Common Multiple of 20527 and 20540