Greatest Common Factor of 3151 and 3152

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 3151, 3152 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3151 and 3152 is 1.

GCF(3151,3152) = 1

GCF of 3151 and 3152

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

GCF of:
and

Greatest Common Factor of 3151 and 3152

GCF of 3151 and 3152 is 1

Prime Factorization of 3151


23 3151
137 137
1

Prime factors of 3151 are 23,137. Prime factorization of 3151 in exponential form is:

3151 = 231×1371

Prime Factorization of 3152


2 3152
2 1576
2 788
2 394
197 197
1

Prime factors of 3152 are 2,197. Prime factorization of 3152 in exponential form is:

3152 = 24×1971

∴ So by taking common prime factors GCF of 3151 and 3152 is 1

Greatest Common Factor of 3151 and 3152 by matching factors method

Factors of 3151

List of positive integer factors of 3151 that divides 3151 without a remainder.

1,23,137,3151

Factors of 3152

List of positive integer factors of 3152 that divides 3152 without a remainder.

1,2,4,8,16,197,394,788,1576,3152

Greatest Common Factor

We found the factors and prime factorization of 3151 and 3152. The biggest common factor number is the GCF number.
So the greatest common factor 3151 and 3152 is 1.

Also check out the Least Common Multiple of 3151 and 3152

Properties of GCF 3151 and 3152

(i) The GCF of 3151 and 3152 is associative

GCF of 3151 and 3152 = GCF of 3152 and 3151

Related Greatest Common Factor of 3151

Related Greatest Common Factor of 3152

Frequently Asked Questions on GCF of 3151 and 3152

1. What is the GCF of 3151 and 3152?

Answer: GCF of 3151 and 3152 is 1.

2. What are the Factors of 3151?

Answer: Factors of 3151 are 1, 23, 137, 3151. There are 4 integers that are factors of 3151. The greatest factor of 3151 is 3151.

3. What are the Factors of 3152?

Answer: Factors of 3152 are 1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152. There are 10 integers that are factors of 3152. The greatest factor of 3152 is 3152.

4. How to Find the GCF of 3151 and 3152?

Answer:

Greatest Common Factor of 3151 and 3152 = 1

Step 1: Find the prime factorization of 3151

3151 = 23 x 137

Step 2: Find the prime factorization of 3152

3152 = 2 x 2 x 2 x 2 x 197

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 3151 and 3152 is 1