Greatest Common Factor of 948 and 949

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

Greatest common factor (GCF) of 948 and 949 is 1.

GCF(948,949) = 1

GCF of 948 and 949

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

GCF of:
and

Greatest Common Factor of 948 and 949

GCF of 948 and 949 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 949


13 949
73 73
1

Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:

949 = 131×731

∴ So by taking common prime factors GCF of 948 and 949 is 1

Greatest Common Factor of 948 and 949 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 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors and prime factorization of 948 and 949. The biggest common factor number is the GCF number.
So the greatest common factor 948 and 949 is 1.

Also check out the Least Common Multiple of 948 and 949

Properties of GCF 948 and 949

(i) The GCF of 948 and 949 is associative

GCF of 948 and 949 = GCF of 949 and 948

Related Greatest Common Factor of 948

Related Greatest Common Factor of 949

Frequently Asked Questions on GCF of 948 and 949

1. What is the GCF of 948 and 949?

Answer: GCF of 948 and 949 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 949?

Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.

4. How to Find the GCF of 948 and 949?

Answer:

Greatest Common Factor of 948 and 949 = 1

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

Step 2: Find the prime factorization of 949

949 = 13 x 73

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 949 is 1