Greatest Common Factor of 948 and 953

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 948, 953 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 948 and 953 is 1.

GCF(948,953) = 1

GCF of 948 and 953

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

GCF of:
and

Greatest Common Factor of 948 and 953

GCF of 948 and 953 is 1

Prime Factorization of 948


2 948
2 474
3 237
79 79
1

Prime factors of 948 are 2,3,79. Prime factorization of 948 in exponential form is:

948 = 22×31×791

Prime Factorization of 953


953 953
1

Prime factors of 953 are 953. Prime factorization of 953 in exponential form is:

953 = 9531

∴ So by taking common prime factors GCF of 948 and 953 is 1

Greatest Common Factor of 948 and 953 by matching factors method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors and prime factorization of 948 and 953. The biggest common factor number is the GCF number.
So the greatest common factor 948 and 953 is 1.

Also check out the Least Common Multiple of 948 and 953

Properties of GCF 948 and 953

(i) The GCF of 948 and 953 is associative

GCF of 948 and 953 = GCF of 953 and 948

Related Greatest Common Factor of 948

Related Greatest Common Factor of 953

Frequently Asked Questions on GCF of 948 and 953

1. What is the GCF of 948 and 953?

Answer: GCF of 948 and 953 is 1.

2. What are the Factors of 948?

Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.

3. What are the Factors of 953?

Answer: Factors of 953 are 1, 953. There are 2 integers that are factors of 953. The greatest factor of 953 is 953.

4. How to Find the GCF of 948 and 953?

Answer:

Greatest Common Factor of 948 and 953 = 1

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 953

953 = 953

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 948 and 953 is 1