What is the Greatest Common Factor of 46064 and 46079?

Greatest common factor (GCF) of 46064 and 46079 is 1.

GCF(46064,46079) = 1

We will now calculate the prime factors of 46064 and 46079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46064 and 46079.

How to find the GCF of 46064 and 46079?

We will first find the prime factorization of 46064 and 46079. After we will calculate the factors of 46064 and 46079 and find the biggest common factor number .

Step-1: Prime Factorization of 46064

Prime factors of 46064 are 2, 2879. Prime factorization of 46064 in exponential form is:

46064 = 2⁴ × 2879¹

Step-2: Prime Factorization of 46079

Prime factors of 46079 are 11, 59, 71. Prime factorization of 46079 in exponential form is:

46079 = 11¹ × 59¹ × 71¹

Step-3: Factors of 46064

List of positive integer factors of 46064 that divides 46064 without a remainder.

1, 2, 4, 8, 16, 2879, 5758, 11516, 23032

Step-4: Factors of 46079

List of positive integer factors of 46079 that divides 46064 without a remainder.

1, 11, 59, 71, 649, 781, 4189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46064 and 46079. The biggest common factor number is the GCF number.
So the greatest common factor 46064 and 46079 is 1.

Also check out the Least Common Multiple of 46064 and 46079