What is the Greatest Common Factor of 46056 and 46064?

Greatest common factor (GCF) of 46056 and 46064 is 8.

GCF(46056,46064) = 8

We will now calculate the prime factors of 46056 and 46064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46056 and 46064.

How to find the GCF of 46056 and 46064?

We will first find the prime factorization of 46056 and 46064. After we will calculate the factors of 46056 and 46064 and find the biggest common factor number .

Step-1: Prime Factorization of 46056

Prime factors of 46056 are 2, 3, 19, 101. Prime factorization of 46056 in exponential form is:

46056 = 2³ × 3¹ × 19¹ × 101¹

Step-2: Prime Factorization of 46064

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

46064 = 2⁴ × 2879¹

Step-3: Factors of 46056

List of positive integer factors of 46056 that divides 46056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 101, 114, 152, 202, 228, 303, 404, 456, 606, 808, 1212, 1919, 2424, 3838, 5757, 7676, 11514, 15352, 23028

Step-4: Factors of 46064

List of positive integer factors of 46064 that divides 46056 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46056 and 46064. The biggest common factor number is the GCF number.
So the greatest common factor 46056 and 46064 is 8.

Also check out the Least Common Multiple of 46056 and 46064