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What is the Greatest Common Factor of 35079 and 35090?

Greatest common factor (GCF) of 35079 and 35090 is 11.

GCF(35079,35090) = 11

We will now calculate the prime factors of 35079 and 35090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35079 and 35090.

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How to find the GCF of 35079 and 35090?

We will first find the prime factorization of 35079 and 35090. After we will calculate the factors of 35079 and 35090 and find the biggest common factor number .

Step-1: Prime Factorization of 35079

Prime factors of 35079 are 3, 11, 1063. Prime factorization of 35079 in exponential form is:

35079 = 31 × 111 × 10631

Step-2: Prime Factorization of 35090

Prime factors of 35090 are 2, 5, 11, 29. Prime factorization of 35090 in exponential form is:

35090 = 21 × 51 × 112 × 291

Step-3: Factors of 35079

List of positive integer factors of 35079 that divides 35079 without a remainder.

1, 3, 11, 33, 1063, 3189, 11693

Step-4: Factors of 35090

List of positive integer factors of 35090 that divides 35079 without a remainder.

1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 121, 145, 242, 290, 319, 605, 638, 1210, 1595, 3190, 3509, 7018, 17545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35079 and 35090. The biggest common factor number is the GCF number.
So the greatest common factor 35079 and 35090 is 11.

Also check out the Least Common Multiple of 35079 and 35090