What is the Greatest Common Factor of 46920 and 46928?

Greatest common factor (GCF) of 46920 and 46928 is 8.

GCF(46920,46928) = 8

We will now calculate the prime factors of 46920 and 46928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46920 and 46928.

How to find the GCF of 46920 and 46928?

We will first find the prime factorization of 46920 and 46928. After we will calculate the factors of 46920 and 46928 and find the biggest common factor number .

Step-1: Prime Factorization of 46920

Prime factors of 46920 are 2, 3, 5, 17, 23. Prime factorization of 46920 in exponential form is:

46920 = 2³ × 3¹ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 46928

Prime factors of 46928 are 2, 7, 419. Prime factorization of 46928 in exponential form is:

46928 = 2⁴ × 7¹ × 419¹

Step-3: Factors of 46920

List of positive integer factors of 46920 that divides 46920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 23, 24, 30, 34, 40, 46, 51, 60, 68, 69, 85, 92, 102, 115, 120, 136, 138, 170, 184, 204, 230, 255, 276, 340, 345, 391, 408, 460, 510, 552, 680, 690, 782, 920, 1020, 1173, 1380, 1564, 1955, 2040, 2346, 2760, 3128, 3910, 4692, 5865, 7820, 9384, 11730, 15640, 23460

Step-4: Factors of 46928

List of positive integer factors of 46928 that divides 46920 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 419, 838, 1676, 2933, 3352, 5866, 6704, 11732, 23464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46920 and 46928. The biggest common factor number is the GCF number.
So the greatest common factor 46920 and 46928 is 8.

Also check out the Least Common Multiple of 46920 and 46928