Greatest Common Factor of 521 and 527

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 521 and 527 by prime factorization method
• Greatest Common Factor of 521 and 527 by matching factors method

Prime Factorization of 521

Prime factors of 521 are 521. Prime factorization of 521 in exponential form is:

521 = 521¹

Prime Factorization of 527

Prime factors of 527 are 17.Prime factorization of 527 in exponential form is:

527 = 17¹×31¹

∴ So by taking common prime factors GCF of 521 and 527 is 1

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors and prime factorization of 521 and 527. The biggest common factor number is the GCF number.
So the greatest common factor 521 and 527 is 1.

Also check out the Least Common Multiple of 521 and 527

(i) The GCF of 521 and 527 is associative

GCF of 521 and 527 = GCF of 527 and 521

1. What is the GCF of 521 and 527?

Answer: GCF of 521 and 527 is 1.

2. What are the Factors of 521?

Answer: Factors of 521 are 1, 521. There are 2 integers that are factors of 521. The greatest factor of 521 is 521.

3. What are the Factors of 527?

Answer: Factors of 527 are 1, 17, 31, 527. There are 4 integers that are factors of 527. The greatest factor of 527 is 527.

4. How to Find the GCF of 521 and 527?

Answer:

Greatest Common Factor of 521 and 527 = 1

Step 1: Find the prime factorization of 521

521 = 521

Step 2: Find the prime factorization of 527

527 = 17 x 31

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 521 and 527 is 1