Greatest Common Factor of 40672 and 40677

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 40672, 40677 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40672 and 40677 is 1.

GCF(40672,40677) = 1

GCF of 40672 and 40677

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

GCF of:
and

Greatest Common Factor of 40672 and 40677

GCF of 40672 and 40677 is 1

Prime Factorization of 40672


2 40672
2 20336
2 10168
2 5084
2 2542
31 1271
41 41
1

Prime factors of 40672 are 2,31,41. Prime factorization of 40672 in exponential form is:

40672 = 25×311×411

Prime Factorization of 40677


3 40677
7 13559
13 1937
149 149
1

Prime factors of 40677 are 3,7,13,149. Prime factorization of 40677 in exponential form is:

40677 = 31×71×131×1491

∴ So by taking common prime factors GCF of 40672 and 40677 is 1

Greatest Common Factor of 40672 and 40677 by matching factors method

Factors of 40672

List of positive integer factors of 40672 that divides 40672 without a remainder.

1,2,4,8,16,31,32,41,62,82,124,164,248,328,496,656,992,1271,1312,2542,5084,10168,20336,40672

Factors of 40677

List of positive integer factors of 40677 that divides 40677 without a remainder.

1,3,7,13,21,39,91,149,273,447,1043,1937,3129,5811,13559,40677

Greatest Common Factor

We found the factors and prime factorization of 40672 and 40677. The biggest common factor number is the GCF number.
So the greatest common factor 40672 and 40677 is 1.

Also check out the Least Common Multiple of 40672 and 40677

Properties of GCF 40672 and 40677

(i) The GCF of 40672 and 40677 is associative

GCF of 40672 and 40677 = GCF of 40677 and 40672

Related Greatest Common Factor of 40672

Related Greatest Common Factor of 40677

Frequently Asked Questions on GCF of 40672 and 40677

1. What is the GCF of 40672 and 40677?

Answer: GCF of 40672 and 40677 is 1.

2. What are the Factors of 40672?

Answer: Factors of 40672 are 1, 2, 4, 8, 16, 31, 32, 41, 62, 82, 124, 164, 248, 328, 496, 656, 992, 1271, 1312, 2542, 5084, 10168, 20336, 40672. There are 24 integers that are factors of 40672. The greatest factor of 40672 is 40672.

3. What are the Factors of 40677?

Answer: Factors of 40677 are 1, 3, 7, 13, 21, 39, 91, 149, 273, 447, 1043, 1937, 3129, 5811, 13559, 40677. There are 16 integers that are factors of 40677. The greatest factor of 40677 is 40677.

4. How to Find the GCF of 40672 and 40677?

Answer:

Greatest Common Factor of 40672 and 40677 = 1

Step 1: Find the prime factorization of 40672

40672 = 2 x 2 x 2 x 2 x 2 x 31 x 41

Step 2: Find the prime factorization of 40677

40677 = 3 x 7 x 13 x 149

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 40672 and 40677 is 1