Greatest Common Factor of 3050 and 3051

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 3050, 3051 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3050 and 3051 is 1.

GCF(3050,3051) = 1

GCF of 3050 and 3051

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

GCF of:
and

Greatest Common Factor of 3050 and 3051

GCF of 3050 and 3051 is 1

Prime Factorization of 3050


2 3050
5 1525
5 305
61 61
1

Prime factors of 3050 are 2,5,61. Prime factorization of 3050 in exponential form is:

3050 = 21×52×611

Prime Factorization of 3051


3 3051
3 1017
3 339
113 113
1

Prime factors of 3051 are 3,113. Prime factorization of 3051 in exponential form is:

3051 = 33×1131

∴ So by taking common prime factors GCF of 3050 and 3051 is 1

Greatest Common Factor of 3050 and 3051 by matching factors method

Factors of 3050

List of positive integer factors of 3050 that divides 3050 without a remainder.

1,2,5,10,25,50,61,122,305,610,1525,3050

Factors of 3051

List of positive integer factors of 3051 that divides 3051 without a remainder.

1,3,9,27,113,339,1017,3051

Greatest Common Factor

We found the factors and prime factorization of 3050 and 3051. The biggest common factor number is the GCF number.
So the greatest common factor 3050 and 3051 is 1.

Also check out the Least Common Multiple of 3050 and 3051

Properties of GCF 3050 and 3051

(i) The GCF of 3050 and 3051 is associative

GCF of 3050 and 3051 = GCF of 3051 and 3050

Frequently Asked Questions on GCF of 3050 and 3051

1. What is the GCF of 3050 and 3051?

Answer: GCF of 3050 and 3051 is 1.

2. What are the Factors of 3050?

Answer: Factors of 3050 are 1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050. There are 12 integers that are factors of 3050. The greatest factor of 3050 is 3050.

3. What are the Factors of 3051?

Answer: Factors of 3051 are 1, 3, 9, 27, 113, 339, 1017, 3051. There are 8 integers that are factors of 3051. The greatest factor of 3051 is 3051.

4. How to Find the GCF of 3050 and 3051?

Answer:

Greatest Common Factor of 3050 and 3051 = 1

Step 1: Find the prime factorization of 3050

3050 = 2 x 5 x 5 x 61

Step 2: Find the prime factorization of 3051

3051 = 3 x 3 x 3 x 113

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 3050 and 3051 is 1