What is the Greatest Common Factor of 46903 and 46920?

Greatest common factor (GCF) of 46903 and 46920 is 17.

GCF(46903,46920) = 17

We will now calculate the prime factors of 46903 and 46920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46903 and 46920.

How to find the GCF of 46903 and 46920?

We will first find the prime factorization of 46903 and 46920. After we will calculate the factors of 46903 and 46920 and find the biggest common factor number .

Step-1: Prime Factorization of 46903

Prime factors of 46903 are 17, 31, 89. Prime factorization of 46903 in exponential form is:

46903 = 17¹ × 31¹ × 89¹

Step-2: 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-3: Factors of 46903

List of positive integer factors of 46903 that divides 46903 without a remainder.

1, 17, 31, 89, 527, 1513, 2759

Step-4: Factors of 46920

List of positive integer factors of 46920 that divides 46903 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46903 and 46920. The biggest common factor number is the GCF number.
So the greatest common factor 46903 and 46920 is 17.

Also check out the Least Common Multiple of 46903 and 46920