Greatest Common Factor of 67040 and 67048

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 67040, 67048 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67040 and 67048 is 8.

GCF(67040,67048) = 8

GCF of 67040 and 67048

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

GCF of:
and

Greatest Common Factor of 67040 and 67048

GCF of 67040 and 67048 is 8

Prime Factorization of 67040


2 67040
2 33520
2 16760
2 8380
2 4190
5 2095
419 419
1

Prime factors of 67040 are 2,5,419. Prime factorization of 67040 in exponential form is:

67040 = 25×51×4191

Prime Factorization of 67048


2 67048
2 33524
2 16762
17 8381
17 493
29 29
1

Prime factors of 67048 are 2,17,29. Prime factorization of 67048 in exponential form is:

67048 = 23×172×291

∴ So by taking common prime factors GCF of 67040 and 67048 is 8

Greatest Common Factor of 67040 and 67048 by matching factors method

Factors of 67040

List of positive integer factors of 67040 that divides 67040 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160,419,838,1676,2095,3352,4190,6704,8380,13408,16760,33520,67040

Factors of 67048

List of positive integer factors of 67048 that divides 67048 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,289,493,578,986,1156,1972,2312,3944,8381,16762,33524,67048

Greatest Common Factor

We found the factors and prime factorization of 67040 and 67048. The biggest common factor number is the GCF number.
So the greatest common factor 67040 and 67048 is 8.

Also check out the Least Common Multiple of 67040 and 67048

Properties of GCF 67040 and 67048

(i) The GCF of 67040 and 67048 is associative

GCF of 67040 and 67048 = GCF of 67048 and 67040

Related Greatest Common Factor of 67040

Related Greatest Common Factor of 67048

Frequently Asked Questions on GCF of 67040 and 67048

1. What is the GCF of 67040 and 67048?

Answer: GCF of 67040 and 67048 is 8.

2. What are the Factors of 67040?

Answer: Factors of 67040 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 13408, 16760, 33520, 67040. There are 24 integers that are factors of 67040. The greatest factor of 67040 is 67040.

3. What are the Factors of 67048?

Answer: Factors of 67048 are 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 289, 493, 578, 986, 1156, 1972, 2312, 3944, 8381, 16762, 33524, 67048. There are 24 integers that are factors of 67048. The greatest factor of 67048 is 67048.

4. How to Find the GCF of 67040 and 67048?

Answer:

Greatest Common Factor of 67040 and 67048 = 8

Step 1: Find the prime factorization of 67040

67040 = 2 x 2 x 2 x 2 x 2 x 5 x 419

Step 2: Find the prime factorization of 67048

67048 = 2 x 2 x 2 x 17 x 17 x 29

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 67040 and 67048 is 8