What is the Greatest Common Factor of 47940 and 47953?

Greatest common factor (GCF) of 47940 and 47953 is 1.

GCF(47940,47953) = 1

We will now calculate the prime factors of 47940 and 47953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47940 and 47953.

How to find the GCF of 47940 and 47953?

We will first find the prime factorization of 47940 and 47953. After we will calculate the factors of 47940 and 47953 and find the biggest common factor number .

Step-1: Prime Factorization of 47940

Prime factors of 47940 are 2, 3, 5, 17, 47. Prime factorization of 47940 in exponential form is:

47940 = 2² × 3¹ × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 47953

Prime factors of 47953 are 79, 607. Prime factorization of 47953 in exponential form is:

47953 = 79¹ × 607¹

Step-3: Factors of 47940

List of positive integer factors of 47940 that divides 47940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 47, 51, 60, 68, 85, 94, 102, 141, 170, 188, 204, 235, 255, 282, 340, 470, 510, 564, 705, 799, 940, 1020, 1410, 1598, 2397, 2820, 3196, 3995, 4794, 7990, 9588, 11985, 15980, 23970

Step-4: Factors of 47953

List of positive integer factors of 47953 that divides 47940 without a remainder.

1, 79, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47940 and 47953. The biggest common factor number is the GCF number.
So the greatest common factor 47940 and 47953 is 1.

Also check out the Least Common Multiple of 47940 and 47953