Greatest Common Factor of 437 and 445

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 437, 445 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 437 and 445 is 1.

GCF(437,445) = 1

GCF of 437 and 445

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

GCF of:
and

Greatest Common Factor of 437 and 445

GCF of 437 and 445 is 1

Prime Factorization of 437


19 437
23 23
1

Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:

437 = 191×231

Prime Factorization of 445


5 445
89 89
1

Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:

445 = 51×891

∴ So by taking common prime factors GCF of 437 and 445 is 1

Greatest Common Factor of 437 and 445 by matching factors method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors and prime factorization of 437 and 445. The biggest common factor number is the GCF number.
So the greatest common factor 437 and 445 is 1.

Also check out the Least Common Multiple of 437 and 445

Properties of GCF 437 and 445

(i) The GCF of 437 and 445 is associative

GCF of 437 and 445 = GCF of 445 and 437

Related Greatest Common Factor of 437

Related Greatest Common Factor of 445

Frequently Asked Questions on GCF of 437 and 445

1. What is the GCF of 437 and 445?

Answer: GCF of 437 and 445 is 1.

2. What are the Factors of 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

3. What are the Factors of 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

4. How to Find the GCF of 437 and 445?

Answer:

Greatest Common Factor of 437 and 445 = 1

Step 1: Find the prime factorization of 437

437 = 19 x 23

Step 2: Find the prime factorization of 445

445 = 5 x 89

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 437 and 445 is 1