What is the Greatest Common Factor of 46920 and 46935?

Greatest common factor (GCF) of 46920 and 46935 is 15.

GCF(46920,46935) = 15

We will now calculate the prime factors of 46920 and 46935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46920 and 46935.

How to find the GCF of 46920 and 46935?

We will first find the prime factorization of 46920 and 46935. After we will calculate the factors of 46920 and 46935 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 46935

Prime factors of 46935 are 3, 5, 7, 149. Prime factorization of 46935 in exponential form is:

46935 = 3² × 5¹ × 7¹ × 149¹

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 46935

List of positive integer factors of 46935 that divides 46920 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 149, 315, 447, 745, 1043, 1341, 2235, 3129, 5215, 6705, 9387, 15645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46920 and 46935. The biggest common factor number is the GCF number.
So the greatest common factor 46920 and 46935 is 15.

Also check out the Least Common Multiple of 46920 and 46935