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What is the Greatest Common Factor of 28 and 35?

Greatest common factor (GCF) of 28 and 35 is 7.

GCF(28,35) = 7

We will now calculate the prime factors of 28 and 35, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28 and 35.

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How to find the GCF of 28 and 35?

We will first find the prime factorization of 28 and 35. After we will calculate the factors of 28 and 35 and find the biggest common factor number .

Step-1: Prime Factorization of 28

Prime factors of 28 are 2, 7. Prime factorization of 28 in exponential form is:

28 = 22 × 71

Step-2: Prime Factorization of 35

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

35 = 51 × 71

Step-3: Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14

Step-4: Factors of 35

List of positive integer factors of 35 that divides 28 without a remainder.

1, 5, 7

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28 and 35. The biggest common factor number is the GCF number.
So the greatest common factor 28 and 35 is 7.

Also check out the Least Common Multiple of 28 and 35

Recent Comments
Alex (School iPad) 2019-09-20 07:20:39

Can you add a third number?

Tabatha 2019-08-14 03:34:18

Hi every one

bob 2017-09-20 16:58:37

didn't have to calculate, just search it up.I already knew the answer but just to double check

bob 2017-09-20 16:57:51

thanks for the answer

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