Greatest Common Factor of 1946 and 1948

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 1946, 1948 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1946 and 1948 is 2.

GCF(1946,1948) = 2

GCF of 1946 and 1948

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

GCF of:
and

Greatest Common Factor of 1946 and 1948

GCF of 1946 and 1948 is 2

Prime Factorization of 1946


2 1946
7 973
139 139
1

Prime factors of 1946 are 2,7,139. Prime factorization of 1946 in exponential form is:

1946 = 21×71×1391

Prime Factorization of 1948


2 1948
2 974
487 487
1

Prime factors of 1948 are 2,487. Prime factorization of 1948 in exponential form is:

1948 = 22×4871

∴ So by taking common prime factors GCF of 1946 and 1948 is 2

Greatest Common Factor of 1946 and 1948 by matching factors method

Factors of 1946

List of positive integer factors of 1946 that divides 1946 without a remainder.

1,2,7,14,139,278,973,1946

Factors of 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1,2,4,487,974,1948

Greatest Common Factor

We found the factors and prime factorization of 1946 and 1948. The biggest common factor number is the GCF number.
So the greatest common factor 1946 and 1948 is 2.

Also check out the Least Common Multiple of 1946 and 1948

Properties of GCF 1946 and 1948

(i) The GCF of 1946 and 1948 is associative

GCF of 1946 and 1948 = GCF of 1948 and 1946

Related Greatest Common Factor of 1946

Related Greatest Common Factor of 1948

Frequently Asked Questions on GCF of 1946 and 1948

1. What is the GCF of 1946 and 1948?

Answer: GCF of 1946 and 1948 is 2.

2. What are the Factors of 1946?

Answer: Factors of 1946 are 1, 2, 7, 14, 139, 278, 973, 1946. There are 8 integers that are factors of 1946. The greatest factor of 1946 is 1946.

3. What are the Factors of 1948?

Answer: Factors of 1948 are 1, 2, 4, 487, 974, 1948. There are 6 integers that are factors of 1948. The greatest factor of 1948 is 1948.

4. How to Find the GCF of 1946 and 1948?

Answer:

Greatest Common Factor of 1946 and 1948 = 2

Step 1: Find the prime factorization of 1946

1946 = 2 x 7 x 139

Step 2: Find the prime factorization of 1948

1948 = 2 x 2 x 487

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1946 and 1948 is 2