What is the Greatest Common Factor of 46920 and 46937?

Greatest common factor (GCF) of 46920 and 46937 is 17.

GCF(46920,46937) = 17

We will now calculate the prime factors of 46920 and 46937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46920 and 46937.

How to find the GCF of 46920 and 46937?

We will first find the prime factorization of 46920 and 46937. After we will calculate the factors of 46920 and 46937 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 46937

Prime factors of 46937 are 11, 17, 251. Prime factorization of 46937 in exponential form is:

46937 = 11¹ × 17¹ × 251¹

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 46937

List of positive integer factors of 46937 that divides 46920 without a remainder.

1, 11, 17, 187, 251, 2761, 4267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46920 and 46937. The biggest common factor number is the GCF number.
So the greatest common factor 46920 and 46937 is 17.

Also check out the Least Common Multiple of 46920 and 46937