What is the Greatest Common Factor of 35064 and 35076?

Greatest common factor (GCF) of 35064 and 35076 is 12.

GCF(35064,35076) = 12

We will now calculate the prime factors of 35064 and 35076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35064 and 35076.

How to find the GCF of 35064 and 35076?

We will first find the prime factorization of 35064 and 35076. After we will calculate the factors of 35064 and 35076 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 35076

Prime factors of 35076 are 2, 3, 37, 79. Prime factorization of 35076 in exponential form is:

35076 = 2² × 3¹ × 37¹ × 79¹

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 35076

List of positive integer factors of 35076 that divides 35064 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 79, 111, 148, 158, 222, 237, 316, 444, 474, 948, 2923, 5846, 8769, 11692, 17538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35064 and 35076. The biggest common factor number is the GCF number.
So the greatest common factor 35064 and 35076 is 12.

Also check out the Least Common Multiple of 35064 and 35076