Greatest Common Factor of 67048 and 67053

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 67048, 67053 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 67048 and 67053 is 1.

GCF(67048,67053) = 1

GCF of 67048 and 67053

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

GCF of:
and

Greatest Common Factor of 67048 and 67053

GCF of 67048 and 67053 is 1

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

Prime Factorization of 67053


3 67053
7 22351
31 3193
103 103
1

Prime factors of 67053 are 3,7,31,103. Prime factorization of 67053 in exponential form is:

67053 = 31×71×311×1031

∴ So by taking common prime factors GCF of 67048 and 67053 is 1

Greatest Common Factor of 67048 and 67053 by matching factors method

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

Factors of 67053

List of positive integer factors of 67053 that divides 67053 without a remainder.

1,3,7,21,31,93,103,217,309,651,721,2163,3193,9579,22351,67053

Greatest Common Factor

We found the factors and prime factorization of 67048 and 67053. The biggest common factor number is the GCF number.
So the greatest common factor 67048 and 67053 is 1.

Also check out the Least Common Multiple of 67048 and 67053

Properties of GCF 67048 and 67053

(i) The GCF of 67048 and 67053 is associative

GCF of 67048 and 67053 = GCF of 67053 and 67048

Related Greatest Common Factor of 67048

Related Greatest Common Factor of 67053

Frequently Asked Questions on GCF of 67048 and 67053

1. What is the GCF of 67048 and 67053?

Answer: GCF of 67048 and 67053 is 1.

2. 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.

3. What are the Factors of 67053?

Answer: Factors of 67053 are 1, 3, 7, 21, 31, 93, 103, 217, 309, 651, 721, 2163, 3193, 9579, 22351, 67053. There are 16 integers that are factors of 67053. The greatest factor of 67053 is 67053.

4. How to Find the GCF of 67048 and 67053?

Answer:

Greatest Common Factor of 67048 and 67053 = 1

Step 1: Find the prime factorization of 67048

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

Step 2: Find the prime factorization of 67053

67053 = 3 x 7 x 31 x 103

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 67048 and 67053 is 1