Greatest Common Factor of 901 and 907

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

• Greatest Common Factor of 901 and 907 by prime factorization method
• Greatest Common Factor of 901 and 907 by matching factors method

Prime Factorization of 901

Prime factors of 901 are 17,53. Prime factorization of 901 in exponential form is:

901 = 17¹×53¹

Prime Factorization of 907

Prime factors of 907 are 907. Prime factorization of 907 in exponential form is:

907 = 907¹

∴ So by taking common prime factors GCF of 901 and 907 is 1

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors and prime factorization of 901 and 907. The biggest common factor number is the GCF number.
So the greatest common factor 901 and 907 is 1.

Also check out the Least Common Multiple of 901 and 907

(i) The GCF of 901 and 907 is associative

GCF of 901 and 907 = GCF of 907 and 901

1. What is the GCF of 901 and 907?

Answer: GCF of 901 and 907 is 1.

2. What are the Factors of 901?

Answer: Factors of 901 are 1, 17, 53, 901. There are 4 integers that are factors of 901. The greatest factor of 901 is 901.

3. What are the Factors of 907?

Answer: Factors of 907 are 1, 907. There are 2 integers that are factors of 907. The greatest factor of 907 is 907.

4. How to Find the GCF of 901 and 907?

Answer:

Greatest Common Factor of 901 and 907 = 1

Step 1: Find the prime factorization of 901

901 = 17 x 53

Step 2: Find the prime factorization of 907

907 = 907

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 901 and 907 is 1