What is the Greatest Common Factor of 46528 and 46536?

Greatest common factor (GCF) of 46528 and 46536 is 8.

GCF(46528,46536) = 8

We will now calculate the prime factors of 46528 and 46536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46528 and 46536.

How to find the GCF of 46528 and 46536?

We will first find the prime factorization of 46528 and 46536. After we will calculate the factors of 46528 and 46536 and find the biggest common factor number .

Step-1: Prime Factorization of 46528

Prime factors of 46528 are 2, 727. Prime factorization of 46528 in exponential form is:

46528 = 2⁶ × 727¹

Step-2: Prime Factorization of 46536

Prime factors of 46536 are 2, 3, 7, 277. Prime factorization of 46536 in exponential form is:

46536 = 2³ × 3¹ × 7¹ × 277¹

Step-3: Factors of 46528

List of positive integer factors of 46528 that divides 46528 without a remainder.

1, 2, 4, 8, 16, 32, 64, 727, 1454, 2908, 5816, 11632, 23264

Step-4: Factors of 46536

List of positive integer factors of 46536 that divides 46528 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 277, 554, 831, 1108, 1662, 1939, 2216, 3324, 3878, 5817, 6648, 7756, 11634, 15512, 23268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46528 and 46536. The biggest common factor number is the GCF number.
So the greatest common factor 46528 and 46536 is 8.

Also check out the Least Common Multiple of 46528 and 46536