What is the Greatest Common Factor of 46920 and 46938?

Greatest common factor (GCF) of 46920 and 46938 is 6.

GCF(46920,46938) = 6

We will now calculate the prime factors of 46920 and 46938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46920 and 46938.

How to find the GCF of 46920 and 46938?

We will first find the prime factorization of 46920 and 46938. After we will calculate the factors of 46920 and 46938 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 46938

Prime factors of 46938 are 2, 3, 7823. Prime factorization of 46938 in exponential form is:

46938 = 2¹ × 3¹ × 7823¹

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 46938

List of positive integer factors of 46938 that divides 46920 without a remainder.

1, 2, 3, 6, 7823, 15646, 23469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46920 and 46938. The biggest common factor number is the GCF number.
So the greatest common factor 46920 and 46938 is 6.

Also check out the Least Common Multiple of 46920 and 46938