Greatest Common Factor of 4056 and 4064

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 4056, 4064 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4056 and 4064 is 8.

GCF(4056,4064) = 8

GCF of 4056 and 4064

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

GCF of:
and

Greatest Common Factor of 4056 and 4064

GCF of 4056 and 4064 is 8

Prime Factorization of 4056


2 4056
2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 4056 are 2,3,13. Prime factorization of 4056 in exponential form is:

4056 = 23×31×132

Prime Factorization of 4064


2 4064
2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 4064 are 2,127. Prime factorization of 4064 in exponential form is:

4064 = 25×1271

∴ So by taking common prime factors GCF of 4056 and 4064 is 8

Greatest Common Factor of 4056 and 4064 by matching factors method

Factors of 4056

List of positive integer factors of 4056 that divides 4056 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1,2,4,8,16,32,127,254,508,1016,2032,4064

Greatest Common Factor

We found the factors and prime factorization of 4056 and 4064. The biggest common factor number is the GCF number.
So the greatest common factor 4056 and 4064 is 8.

Also check out the Least Common Multiple of 4056 and 4064

Properties of GCF 4056 and 4064

(i) The GCF of 4056 and 4064 is associative

GCF of 4056 and 4064 = GCF of 4064 and 4056

Related Greatest Common Factor of 4056

Related Greatest Common Factor of 4064

Frequently Asked Questions on GCF of 4056 and 4064

1. What is the GCF of 4056 and 4064?

Answer: GCF of 4056 and 4064 is 8.

2. What are the Factors of 4056?

Answer: Factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056. There are 24 integers that are factors of 4056. The greatest factor of 4056 is 4056.

3. What are the Factors of 4064?

Answer: Factors of 4064 are 1, 2, 4, 8, 16, 32, 127, 254, 508, 1016, 2032, 4064. There are 12 integers that are factors of 4064. The greatest factor of 4064 is 4064.

4. How to Find the GCF of 4056 and 4064?

Answer:

Greatest Common Factor of 4056 and 4064 = 8

Step 1: Find the prime factorization of 4056

4056 = 2 x 2 x 2 x 3 x 13 x 13

Step 2: Find the prime factorization of 4064

4064 = 2 x 2 x 2 x 2 x 2 x 127

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4056 and 4064 is 8