Greatest Common Factor of 4148 and 4152

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 4148, 4152 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4148 and 4152 is 4.

GCF(4148,4152) = 4

GCF of 4148 and 4152

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

GCF of:
and

Greatest Common Factor of 4148 and 4152

GCF of 4148 and 4152 is 4

Prime Factorization of 4148


2 4148
2 2074
17 1037
61 61
1

Prime factors of 4148 are 2,17,61. Prime factorization of 4148 in exponential form is:

4148 = 22×171×611

Prime Factorization of 4152


2 4152
2 2076
2 1038
3 519
173 173
1

Prime factors of 4152 are 2,3,173. Prime factorization of 4152 in exponential form is:

4152 = 23×31×1731

∴ So by taking common prime factors GCF of 4148 and 4152 is 4

Greatest Common Factor of 4148 and 4152 by matching factors method

Factors of 4148

List of positive integer factors of 4148 that divides 4148 without a remainder.

1,2,4,17,34,61,68,122,244,1037,2074,4148

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152

Greatest Common Factor

We found the factors and prime factorization of 4148 and 4152. The biggest common factor number is the GCF number.
So the greatest common factor 4148 and 4152 is 4.

Also check out the Least Common Multiple of 4148 and 4152

Properties of GCF 4148 and 4152

(i) The GCF of 4148 and 4152 is associative

GCF of 4148 and 4152 = GCF of 4152 and 4148

Related Greatest Common Factor of 4148

Related Greatest Common Factor of 4152

Frequently Asked Questions on GCF of 4148 and 4152

1. What is the GCF of 4148 and 4152?

Answer: GCF of 4148 and 4152 is 4.

2. What are the Factors of 4148?

Answer: Factors of 4148 are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148. There are 12 integers that are factors of 4148. The greatest factor of 4148 is 4148.

3. What are the Factors of 4152?

Answer: Factors of 4152 are 1, 2, 3, 4, 6, 8, 12, 24, 173, 346, 519, 692, 1038, 1384, 2076, 4152. There are 16 integers that are factors of 4152. The greatest factor of 4152 is 4152.

4. How to Find the GCF of 4148 and 4152?

Answer:

Greatest Common Factor of 4148 and 4152 = 4

Step 1: Find the prime factorization of 4148

4148 = 2 x 2 x 17 x 61

Step 2: Find the prime factorization of 4152

4152 = 2 x 2 x 2 x 3 x 173

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4148 and 4152 is 4