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What is the Greatest Common Factor of 35 and 44?

Greatest common factor (GCF) of 35 and 44 is 1.

GCF(35,44) = 1

We will now calculate the prime factors of 35 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35 and 44.

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How to find the GCF of 35 and 44?

We will first find the prime factorization of 35 and 44. After we will calculate the factors of 35 and 44 and find the biggest common factor number .

Step-1: Prime Factorization of 35

Prime factors of 35 are 5, 7. Prime factorization of 35 in exponential form is:

35 = 51 × 71

Step-2: Prime Factorization of 44

Prime factors of 44 are 2, 11. Prime factorization of 44 in exponential form is:

44 = 22 × 111

Step-3: Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1, 5, 7

Step-4: Factors of 44

List of positive integer factors of 44 that divides 35 without a remainder.

1, 2, 4, 11, 22

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35 and 44. The biggest common factor number is the GCF number.
So the greatest common factor 35 and 44 is 1.

Also check out the Least Common Multiple of 35 and 44

Recent Comments
Your name 2020-05-25 08:23:12

Very nice....keep it up!!!

Lydia Wattervess 2017-10-10 15:23:53

So I am on the GCF page and I need to find out how to switch to the LCM mode, but I dont know how.

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