Greatest Common Factor of 5464 and 5472

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 5464, 5472 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5464 and 5472 is 8.

GCF(5464,5472) = 8

GCF of 5464 and 5472

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

GCF of:
and

Greatest Common Factor of 5464 and 5472

GCF of 5464 and 5472 is 8

Prime Factorization of 5464


2 5464
2 2732
2 1366
683 683
1

Prime factors of 5464 are 2,683. Prime factorization of 5464 in exponential form is:

5464 = 23×6831

Prime Factorization of 5472


2 5472
2 2736
2 1368
2 684
2 342
3 171
3 57
19 19
1

Prime factors of 5472 are 2,3,19. Prime factorization of 5472 in exponential form is:

5472 = 25×32×191

∴ So by taking common prime factors GCF of 5464 and 5472 is 8

Greatest Common Factor of 5464 and 5472 by matching factors method

Factors of 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1,2,4,8,683,1366,2732,5464

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472

Greatest Common Factor

We found the factors and prime factorization of 5464 and 5472. The biggest common factor number is the GCF number.
So the greatest common factor 5464 and 5472 is 8.

Also check out the Least Common Multiple of 5464 and 5472

Properties of GCF 5464 and 5472

(i) The GCF of 5464 and 5472 is associative

GCF of 5464 and 5472 = GCF of 5472 and 5464

Related Greatest Common Factor of 5464

Related Greatest Common Factor of 5472

Frequently Asked Questions on GCF of 5464 and 5472

1. What is the GCF of 5464 and 5472?

Answer: GCF of 5464 and 5472 is 8.

2. What are the Factors of 5464?

Answer: Factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464. There are 8 integers that are factors of 5464. The greatest factor of 5464 is 5464.

3. What are the Factors of 5472?

Answer: Factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472. There are 36 integers that are factors of 5472. The greatest factor of 5472 is 5472.

4. How to Find the GCF of 5464 and 5472?

Answer:

Greatest Common Factor of 5464 and 5472 = 8

Step 1: Find the prime factorization of 5464

5464 = 2 x 2 x 2 x 683

Step 2: Find the prime factorization of 5472

5472 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19

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 5464 and 5472 is 8