Greatest Common Factor of 946 and 947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 946, 947 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 946 and 947 is 1.

GCF(946,947) = 1

GCF of 946 and 947

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

GCF of:
and

Greatest Common Factor of 946 and 947

GCF of 946 and 947 is 1

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2,11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

Prime Factorization of 947


947 947
1

Prime factors of 947 are 947. Prime factorization of 947 in exponential form is:

947 = 9471

∴ So by taking common prime factors GCF of 946 and 947 is 1

Greatest Common Factor of 946 and 947 by matching factors method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors and prime factorization of 946 and 947. The biggest common factor number is the GCF number.
So the greatest common factor 946 and 947 is 1.

Also check out the Least Common Multiple of 946 and 947

Properties of GCF 946 and 947

(i) The GCF of 946 and 947 is associative

GCF of 946 and 947 = GCF of 947 and 946

Related Greatest Common Factor of 946

Related Greatest Common Factor of 947

Frequently Asked Questions on GCF of 946 and 947

1. What is the GCF of 946 and 947?

Answer: GCF of 946 and 947 is 1.

2. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

3. What are the Factors of 947?

Answer: Factors of 947 are 1, 947. There are 2 integers that are factors of 947. The greatest factor of 947 is 947.

4. How to Find the GCF of 946 and 947?

Answer:

Greatest Common Factor of 946 and 947 = 1

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

Step 2: Find the prime factorization of 947

947 = 947

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 946 and 947 is 1