What is the Greatest Common Factor of 75064 and 75079?

Greatest common factor (GCF) of 75064 and 75079 is 1.

GCF(75064,75079) = 1

We will now calculate the prime factors of 75064 and 75079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75064 and 75079.

How to find the GCF of 75064 and 75079?

We will first find the prime factorization of 75064 and 75079. After we will calculate the factors of 75064 and 75079 and find the biggest common factor number .

Step-1: Prime Factorization of 75064

Prime factors of 75064 are 2, 11, 853. Prime factorization of 75064 in exponential form is:

75064 = 2³ × 11¹ × 853¹

Step-2: Prime Factorization of 75079

Prime factors of 75079 are 75079. Prime factorization of 75079 in exponential form is:

75079 = 75079¹

Step-3: Factors of 75064

List of positive integer factors of 75064 that divides 75064 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 853, 1706, 3412, 6824, 9383, 18766, 37532

Step-4: Factors of 75079

List of positive integer factors of 75079 that divides 75064 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75064 and 75079. The biggest common factor number is the GCF number.
So the greatest common factor 75064 and 75079 is 1.

Also check out the Least Common Multiple of 75064 and 75079