Greatest Common Factor of 8945 and 8951

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

• Greatest Common Factor of 8945 and 8951 by prime factorization method
• Greatest Common Factor of 8945 and 8951 by matching factors method

Prime Factorization of 8945

Prime factors of 8945 are 5,1789. Prime factorization of 8945 in exponential form is:

8945 = 5¹×1789¹

Prime Factorization of 8951

Prime factors of 8951 are 8951. Prime factorization of 8951 in exponential form is:

8951 = 8951¹

∴ So by taking common prime factors GCF of 8945 and 8951 is 1

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1,5,1789,8945

Factors of 8951

List of positive integer factors of 8951 that divides 8951 without a remainder.

1,8951

Greatest Common Factor

We found the factors and prime factorization of 8945 and 8951. The biggest common factor number is the GCF number.
So the greatest common factor 8945 and 8951 is 1.

Also check out the Least Common Multiple of 8945 and 8951

(i) The GCF of 8945 and 8951 is associative

GCF of 8945 and 8951 = GCF of 8951 and 8945

1. What is the GCF of 8945 and 8951?

Answer: GCF of 8945 and 8951 is 1.

2. What are the Factors of 8945?

Answer: Factors of 8945 are 1, 5, 1789, 8945. There are 4 integers that are factors of 8945. The greatest factor of 8945 is 8945.

3. What are the Factors of 8951?

Answer: Factors of 8951 are 1, 8951. There are 2 integers that are factors of 8951. The greatest factor of 8951 is 8951.

4. How to Find the GCF of 8945 and 8951?

Answer:

Greatest Common Factor of 8945 and 8951 = 1

Step 1: Find the prime factorization of 8945

8945 = 5 x 1789

Step 2: Find the prime factorization of 8951

8951 = 8951

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 8945 and 8951 is 1