What is the Greatest Common Factor of 46920 and 46930?

Greatest common factor (GCF) of 46920 and 46930 is 10.

GCF(46920,46930) = 10

We will now calculate the prime factors of 46920 and 46930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46920 and 46930.

How to find the GCF of 46920 and 46930?

We will first find the prime factorization of 46920 and 46930. After we will calculate the factors of 46920 and 46930 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 46930

Prime factors of 46930 are 2, 5, 13, 19. Prime factorization of 46930 in exponential form is:

46930 = 2¹ × 5¹ × 13¹ × 19²

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 46930

List of positive integer factors of 46930 that divides 46920 without a remainder.

1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 361, 494, 722, 1235, 1805, 2470, 3610, 4693, 9386, 23465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46920 and 46930. The biggest common factor number is the GCF number.
So the greatest common factor 46920 and 46930 is 10.

Also check out the Least Common Multiple of 46920 and 46930