Greatest Common Factor of 53 and 61

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

• Greatest Common Factor of 53 and 61 by prime factorization method
• Greatest Common Factor of 53 and 61 by matching factors method

Prime Factorization of 53

Prime factors of 53 are 53. Prime factorization of 53 in exponential form is:

53 = 53¹

Prime Factorization of 61

Prime factors of 61 are 61.Prime factorization of 61 in exponential form is:

61 = 61¹

∴ So by taking common prime factors GCF of 53 and 61 is 1

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors and prime factorization of 53 and 61. The biggest common factor number is the GCF number.
So the greatest common factor 53 and 61 is 1.

Also check out the Least Common Multiple of 53 and 61

(i) The GCF of 53 and 61 is associative

GCF of 53 and 61 = GCF of 61 and 53

1. What is the GCF of 53 and 61?

Answer: GCF of 53 and 61 is 1.

2. What are the Factors of 53?

Answer: Factors of 53 are 1, 53. There are 2 integers that are factors of 53. The greatest factor of 53 is 53.

3. What are the Factors of 61?

Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.

4. How to Find the GCF of 53 and 61?

Answer:

Greatest Common Factor of 53 and 61 = 1

Step 1: Find the prime factorization of 53

53 = 53

Step 2: Find the prime factorization of 61

61 = 61

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 53 and 61 is 1