What is the Greatest Common Factor of 35064 and 35079?

Greatest common factor (GCF) of 35064 and 35079 is 3.

GCF(35064,35079) = 3

We will now calculate the prime factors of 35064 and 35079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35064 and 35079.

How to find the GCF of 35064 and 35079?

We will first find the prime factorization of 35064 and 35079. After we will calculate the factors of 35064 and 35079 and find the biggest common factor number .

Step-1: Prime Factorization of 35064

Prime factors of 35064 are 2, 3, 487. Prime factorization of 35064 in exponential form is:

35064 = 2³ × 3² × 487¹

Step-2: 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-3: Factors of 35064

List of positive integer factors of 35064 that divides 35064 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 487, 974, 1461, 1948, 2922, 3896, 4383, 5844, 8766, 11688, 17532

Step-4: Factors of 35079

List of positive integer factors of 35079 that divides 35064 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35064 and 35079. The biggest common factor number is the GCF number.
So the greatest common factor 35064 and 35079 is 3.

Also check out the Least Common Multiple of 35064 and 35079